%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP371-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n016.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 16:54:31 EDT 2024

% Result   : Unsatisfiable 11.03s 11.23s
% Output   : Proof 11.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : GRP371-1 : TPTP v8.2.0. Released v2.5.0.
% 0.06/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 26 20:30:09 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.19/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.46/10.71  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.03/11.23  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.fvTdb1raow/cvc5---1.0.5_2650.smt2
% 11.03/11.23  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.fvTdb1raow/cvc5---1.0.5_2650.smt2
% 11.48/11.72  (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 11.48/11.72  (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 11.48/11.72  (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.72  (assume a3 (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.48/11.72  (assume a4 (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.48/11.72  (assume a5 (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.48/11.72  (assume a6 (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.48/11.72  (assume a7 (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.48/11.72  (assume a8 (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.48/11.72  (assume a9 (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.48/11.72  (assume a10 (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.48/11.72  (assume a11 (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.48/11.72  (assume a12 (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.48/11.72  (assume a13 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.48/11.72  (assume a14 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.48/11.72  (assume a15 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.48/11.72  (assume a16 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.48/11.72  (assume a17 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.48/11.72  (assume a18 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.48/11.72  (assume a19 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.48/11.72  (assume a20 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.48/11.72  (assume a21 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.48/11.72  (assume a22 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.48/11.72  (assume a23 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.48/11.72  (assume a24 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.48/11.72  (assume a25 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.48/11.72  (assume a26 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.48/11.72  (assume a27 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.48/11.72  (assume a28 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.48/11.72  (assume a29 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.48/11.72  (assume a30 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.48/11.72  (assume a31 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.48/11.72  (assume a32 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.48/11.72  (assume a33 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.48/11.72  (assume a34 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.48/11.72  (assume a35 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.48/11.72  (assume a36 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.48/11.72  (assume a37 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.48/11.72  (assume a38 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.48/11.72  (assume a39 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.48/11.72  (assume a40 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.48/11.72  (assume a41 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.48/11.72  (assume a42 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.48/11.72  (assume a43 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.48/11.72  (assume a44 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.48/11.72  (assume a45 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.48/11.72  (assume a46 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.48/11.72  (assume a47 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.48/11.72  (assume a48 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.48/11.72  (assume a49 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.48/11.72  (assume a50 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.48/11.72  (assume a51 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.48/11.72  (assume a52 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.48/11.72  (assume a53 (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.multiply X3 X4) tptp.sk_c11)) (not (= (tptp.inverse X3) X4)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) 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)))))
% 11.48/11.72  (step t1 (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule equiv_pos2)
% 11.48/11.72  (step t2 (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)
% 11.48/11.72  (step t3 (cl (= (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule refl)
% 11.48/11.72  (step t4 (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)
% 11.48/11.72  (step t5 (cl (= (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule refl)
% 11.48/11.72  (step t6 (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)
% 11.48/11.72  (step t7 (cl (= (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule refl)
% 11.48/11.72  (step t8 (cl (= (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule refl)
% 11.48/11.72  (step t9 (cl (= (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) :rule refl)
% 11.48/11.72  (step t10 (cl (= (= (= (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) true) (= (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))) :rule equiv_simplify)
% 11.48/11.72  (step t11 (cl (not (= (= (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) true)) (= (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule equiv1 :premises (t10))
% 11.48/11.72  (step t12 (cl (= (= (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))))) :rule all_simplify)
% 11.48/11.72  (step t13 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule refl)
% 11.48/11.72  (step t14 (cl (= (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule all_simplify)
% 11.48/11.72  (step t15 (cl (= (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))) (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))) :rule cong :premises (t13 t14))
% 11.48/11.72  (step t16 (cl (= (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) true)) :rule all_simplify)
% 11.48/11.72  (step t17 (cl (= (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))) true)) :rule trans :premises (t15 t16))
% 11.48/11.72  (step t18 (cl (= (= (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) true)) :rule trans :premises (t12 t17))
% 11.48/11.72  (step t19 (cl (= (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t11 t18))
% 11.48/11.72  (step t20 (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)
% 11.48/11.72  (step t21 (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)
% 11.48/11.72  (step t22 (cl (= (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))))) :rule refl)
% 11.48/11.72  (step t23 (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)
% 11.48/11.72  (step t24 (cl (= (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule refl)
% 11.48/11.72  (step t25 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))))) :rule refl)
% 11.48/11.72  (step t26 (cl (= (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))))) :rule refl)
% 11.48/11.72  (step t27 (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)
% 11.48/11.72  (step t28 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule refl)
% 11.48/11.72  (step t29 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule refl)
% 11.48/11.72  (step t30 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule refl)
% 11.48/11.72  (step t31 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule refl)
% 11.48/11.72  (step t32 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule refl)
% 11.48/11.72  (step t33 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule refl)
% 11.48/11.72  (step t34 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))))) :rule refl)
% 11.48/11.72  (step t35 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))))) :rule refl)
% 11.48/11.72  (step t36 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))))) :rule refl)
% 11.48/11.72  (step t37 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule refl)
% 11.48/11.72  (step t38 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule refl)
% 11.48/11.72  (step t39 (cl (= (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))))) :rule cong :premises (t2 t3 t4 t5 t6 t7 t8 t9 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29 t30 t31 t32 t33 t34 t35 t36 t37 t38))
% 11.48/11.72  (step t40 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (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.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_neg)
% 11.48/11.72  (step t41 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg1)
% 11.48/11.72  (anchor :step t42)
% 11.48/11.72  (assume t42.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.72  (assume t42.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.72  (assume t42.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.48/11.72  (assume t42.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.48/11.72  (assume t42.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.48/11.72  (assume t42.a5 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 11.48/11.72  (assume t42.a6 (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)))
% 11.48/11.72  (assume t42.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))
% 11.48/11.72  (assume t42.a8 (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))
% 11.48/11.72  (assume t42.a9 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.48/11.72  (assume t42.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.72  (assume t42.a11 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.72  (assume t42.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.72  (assume t42.a13 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.72  (assume t42.a14 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.72  (assume t42.a15 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.48/11.72  (assume t42.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.48/11.72  (assume t42.a17 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.48/11.72  (assume t42.a18 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.48/11.72  (assume t42.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.48/11.72  (assume t42.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.48/11.72  (assume t42.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.48/11.72  (assume t42.a22 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.72  (assume t42.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))
% 11.48/11.72  (assume t42.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))
% 11.48/11.72  (assume t42.a25 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.48/11.72  (assume t42.a26 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 11.48/11.72  (step t42.t1 (cl (=> (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule implies_neg1)
% 11.48/11.72  (anchor :step t42.t2)
% 11.48/11.72  (assume t42.t2.a0 (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))
% 11.48/11.72  (assume t42.t2.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.72  (assume t42.t2.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.48/11.72  (assume t42.t2.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.48/11.72  (assume t42.t2.a4 (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)))
% 11.48/11.72  (assume t42.t2.a5 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 11.48/11.72  (assume t42.t2.a6 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.72  (assume t42.t2.a7 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.72  (assume t42.t2.a8 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.72  (assume t42.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.72  (assume t42.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.72  (assume t42.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.48/11.72  (assume t42.t2.a12 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.48/11.72  (assume t42.t2.a13 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.48/11.72  (assume t42.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.72  (assume t42.t2.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))
% 11.48/11.72  (assume t42.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.48/11.72  (assume t42.t2.a17 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.72  (assume t42.t2.a18 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.48/11.72  (assume t42.t2.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 11.48/11.72  (assume t42.t2.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.48/11.72  (assume t42.t2.a21 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.48/11.72  (assume t42.t2.a22 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))
% 11.48/11.72  (assume t42.t2.a23 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.48/11.72  (assume t42.t2.a24 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.48/11.72  (assume t42.t2.a25 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))
% 11.48/11.72  (assume t42.t2.a26 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.48/11.72  (step t42.t2.t1 (cl (= (= (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))) false) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule equiv_simplify)
% 11.48/11.72  (step t42.t2.t2 (cl (not (= (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))) false)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule equiv1 :premises (t42.t2.t1))
% 11.48/11.72  (step t42.t2.t3 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) :rule symm :premises (t42.t2.a22))
% 11.48/11.72  (step t42.t2.t4 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t42.t2.a5))
% 11.48/11.72  (step t42.t2.t5 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t42.t2.t4))
% 11.48/11.72  (step t42.t2.t6 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) (tptp.inverse tptp.sk_c7))) :rule trans :premises (t42.t2.t3 t42.t2.t5))
% 11.48/11.72  (step t42.t2.t7 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.48/11.72  (step t42.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c11))) :rule cong :premises (t42.t2.t6 t42.t2.t7))
% 11.48/11.72  (step t42.t2.t9 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t42.t2.a2))
% 11.48/11.72  (step t42.t2.t10 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t42.t2.t9))
% 11.48/11.72  (step t42.t2.t11 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.48/11.72  (step t42.t2.t12 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c10))) :rule cong :premises (t42.t2.a3 t42.t2.t11))
% 11.48/11.72  (step t42.t2.t13 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t42.t2.a3))
% 11.48/11.72  (step t42.t2.t14 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c7)) (tptp.inverse tptp.sk_c6))) :rule cong :premises (t42.t2.t4))
% 11.48/11.72  (step t42.t2.t15 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)) :rule symm :premises (t42.t2.a4))
% 11.48/11.72  (step t42.t2.t16 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c7)) tptp.sk_c8)) :rule trans :premises (t42.t2.t14 t42.t2.t15))
% 11.48/11.72  (step t42.t2.t17 (cl (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t42.t2.t16))
% 11.48/11.72  (step t42.t2.t18 (cl (= (tptp.inverse tptp.sk_c5) (tptp.inverse tptp.sk_c6))) :rule trans :premises (t42.t2.t13 t42.t2.t17 t42.t2.t14))
% 11.48/11.72  (step t42.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c10))) :rule cong :premises (t42.t2.t18 t42.t2.t11))
% 11.48/11.72  (step t42.t2.t20 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.48/11.72  (step t42.t2.t21 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.48/11.72  (step t42.t2.t22 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t42.t2.a1))
% 11.48/11.72  (step t42.t2.t23 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t42.t2.t21 t42.t2.t22))
% 11.48/11.72  (step t42.t2.t24 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t42.t2.t23))
% 11.48/11.72  (step t42.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t42.t2.a7))
% 11.48/11.72  (step t42.t2.t26 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.48/11.72  (step t42.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t42.t2.t25 t42.t2.t26))
% 11.48/11.72  (step t42.t2.t28 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t42.t2.t27))
% 11.48/11.72  (step t42.t2.t29 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t42.t2.a1 t42.t2.t11))
% 11.48/11.72  (step t42.t2.t30 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t42.t2.a6 t42.t2.t24))
% 11.48/11.72  (step t42.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t42.t2.t26 t42.t2.t30))
% 11.48/11.72  (step t42.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t42.t2.a10))
% 11.48/11.72  (step t42.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t42.t2.a9))
% 11.48/11.72  (step t42.t2.t34 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t42.t2.t33 t42.t2.t26))
% 11.48/11.72  (step t42.t2.t35 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t42.t2.a8))
% 11.48/11.72  (step t42.t2.t36 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.inverse tptp.sk_c3))) :rule trans :premises (t42.t2.t29 t42.t2.t31 t42.t2.t32 t42.t2.t34 t42.t2.t35))
% 11.48/11.72  (step t42.t2.t37 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t42.t2.a7 t42.t2.t36))
% 11.48/11.72  (step t42.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t42.t2.t37))
% 11.48/11.72  (step t42.t2.t39 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t42.t2.a11))
% 11.48/11.72  (step t42.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t42.t2.a12))
% 11.48/11.72  (step t42.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule trans :premises (t42.t2.t40 t42.t2.t30 t42.t2.t23))
% 11.48/11.72  (step t42.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t42.t2.t41 t42.t2.t11))
% 11.48/11.72  (step t42.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t42.t2.t42))
% 11.48/11.72  (step t42.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t42.t2.a14))
% 11.48/11.72  (step t42.t2.t45 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule refl)
% 11.48/11.72  (step t42.t2.t46 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t42.t2.t44 t42.t2.t45))
% 11.48/11.72  (step t42.t2.t47 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t42.t2.t46))
% 11.48/11.72  (step t42.t2.t48 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c11))) :rule cong :premises (t42.t2.t22))
% 11.48/11.72  (step t42.t2.t49 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t42.t2.t34))
% 11.48/11.72  (step t42.t2.t50 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t42.t2.t36))
% 11.48/11.72  (step t42.t2.t51 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c10)) :rule symm :premises (t42.t2.t30))
% 11.48/11.72  (step t42.t2.t52 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t42.t2.t50 t42.t2.t51))
% 11.48/11.72  (step t42.t2.t53 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t42.t2.a16))
% 11.48/11.72  (step t42.t2.t54 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t42.t2.t53))
% 11.48/11.72  (step t42.t2.t55 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule trans :premises (t42.t2.a8 t42.t2.t49 t42.t2.a10 t42.t2.t52 t42.t2.t54))
% 11.48/11.72  (step t42.t2.t56 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule cong :premises (t42.t2.t48 t42.t2.t55))
% 11.48/11.72  (step t42.t2.t57 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t42.t2.t56))
% 11.48/11.72  (step t42.t2.t58 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t42.t2.a17))
% 11.48/11.72  (step t42.t2.t59 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.48/11.72  (step t42.t2.t60 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t42.t2.t5 t42.t2.t59))
% 11.48/11.72  (step t42.t2.t61 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t42.t2.t60))
% 11.48/11.72  (step t42.t2.t62 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t42.t2.a6 t42.t2.t24 t42.t2.t28 t42.t2.t38 t42.t2.t39 t42.t2.t43 t42.t2.a13 t42.t2.t47 t42.t2.a15 t42.t2.t57 t42.t2.t58 t42.t2.a18 t42.t2.t61))
% 11.48/11.72  (step t42.t2.t63 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t42.t2.t20 t42.t2.t62))
% 11.48/11.72  (step t42.t2.t64 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t42.t2.a19))
% 11.48/11.72  (step t42.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t42.t2.a20))
% 11.48/11.72  (step t42.t2.t66 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t42.t2.t65 t42.t2.t59))
% 11.48/11.72  (step t42.t2.t67 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t42.t2.a21))
% 11.48/11.72  (step t42.t2.t68 (cl (= tptp.sk_c11 tptp.sk_c7)) :rule trans :premises (t42.t2.t10 t42.t2.t12 t42.t2.t19 t42.t2.t63 t42.t2.t64 t42.t2.t66 t42.t2.t67))
% 11.48/11.72  (step t42.t2.t69 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c11) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t42.t2.t4 t42.t2.t68))
% 11.48/11.72  (step t42.t2.t70 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t42.t2.a18))
% 11.48/11.72  (step t42.t2.t71 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t42.t2.t58))
% 11.48/11.72  (step t42.t2.t72 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t42.t2.a15))
% 11.48/11.72  (step t42.t2.t73 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t42.t2.a13))
% 11.48/11.72  (step t42.t2.t74 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t42.t2.t39))
% 11.48/11.72  (step t42.t2.t75 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t42.t2.a6))
% 11.48/11.72  (step t42.t2.t76 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) tptp.sk_c10)) :rule trans :premises (t42.t2.t8 t42.t2.t69 t42.t2.t60 t42.t2.t70 t42.t2.t71 t42.t2.t56 t42.t2.t72 t42.t2.t46 t42.t2.t73 t42.t2.t42 t42.t2.t74 t42.t2.t37 t42.t2.t27 t42.t2.t23 t42.t2.t75))
% 11.48/11.72  (step t42.t2.t77 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t42.t2.t48))
% 11.48/11.72  (step t42.t2.t78 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t42.t2.t66))
% 11.48/11.72  (step t42.t2.t79 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c10))) :rule symm :premises (t42.t2.t63))
% 11.48/11.72  (step t42.t2.t80 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c10))) :rule symm :premises (t42.t2.t19))
% 11.48/11.72  (step t42.t2.t81 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t42.t2.t12))
% 11.48/11.72  (step t42.t2.t82 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule trans :premises (t42.t2.a21 t42.t2.t78 t42.t2.a19 t42.t2.t79 t42.t2.t80 t42.t2.t81 t42.t2.t9 t42.t2.a1))
% 11.48/11.72  (step t42.t2.t83 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t42.t2.t82))
% 11.48/11.72  (step t42.t2.t84 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c7))) :rule symm :premises (t42.t2.t83))
% 11.48/11.72  (step t42.t2.t85 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c11))) :rule cong :premises (t42.t2.a3 t42.t2.t7))
% 11.48/11.72  (step t42.t2.t86 (cl (= (tptp.inverse tptp.sk_c5) (tptp.inverse tptp.sk_c5))) :rule refl)
% 11.48/11.72  (step t42.t2.t87 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t42.t2.a26))
% 11.48/11.72  (step t42.t2.t88 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t42.t2.t87))
% 11.48/11.72  (step t42.t2.t89 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule cong :premises (t42.t2.t86 t42.t2.t88))
% 11.48/11.72  (step t42.t2.t90 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8))) :rule symm :premises (t42.t2.a25))
% 11.48/11.72  (step t42.t2.t91 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t42.t2.a24))
% 11.48/11.72  (step t42.t2.t92 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.48/11.72  (step t42.t2.t93 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t42.t2.t91 t42.t2.t92))
% 11.48/11.72  (step t42.t2.t94 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t42.t2.a23))
% 11.48/11.72  (step t42.t2.t95 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c11) tptp.sk_c8)) :rule trans :premises (t42.t2.t85 t42.t2.t89 t42.t2.t90 t42.t2.t93 t42.t2.t94))
% 11.48/11.72  (step t42.t2.t96 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)) (tptp.multiply tptp.sk_c7 tptp.sk_c8))) :rule cong :premises (t42.t2.t59 t42.t2.t95))
% 11.48/11.72  (step t42.t2.t97 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)) (tptp.inverse tptp.sk_c7))) :rule trans :premises (t42.t2.t96 t42.t2.t3 t42.t2.t5))
% 11.48/11.72  (step t42.t2.t98 (cl (= (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) :rule symm :premises (t42.t2.t97))
% 11.48/11.72  (step t42.t2.t99 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) :rule trans :premises (t42.t2.t77 t42.t2.t84 t42.t2.t98))
% 11.48/11.72  (step t42.t2.t100 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)) (tptp.inverse tptp.sk_c11))) :rule symm :premises (t42.t2.t99))
% 11.48/11.72  (step t42.t2.t101 (cl (= (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule cong :premises (t42.t2.t76 t42.t2.t100))
% 11.48/11.72  (step t42.t2.t102 (cl (= (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) false) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))) :rule equiv_simplify)
% 11.48/11.72  (step t42.t2.t103 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) false) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))) :rule equiv2 :premises (t42.t2.t102))
% 11.48/11.72  (step t42.t2.t104 (cl (not (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule not_not)
% 11.48/11.72  (step t42.t2.t105 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) false) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule resolution :premises (t42.t2.t103 t42.t2.t104))
% 11.48/11.72  (step t42.t2.t106 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) false)) :rule resolution :premises (t42.t2.t105 t42.t2.a0))
% 11.48/11.72  (step t42.t2.t107 (cl (= (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))) false)) :rule trans :premises (t42.t2.t101 t42.t2.t106))
% 11.48/11.72  (step t42.t2.t108 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule resolution :premises (t42.t2.t2 t42.t2.t107))
% 11.48/11.72  (step t42.t2 (cl (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (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.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 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.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :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))
% 11.48/11.72  (step t42.t3 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule and_pos)
% 11.48/11.72  (step t42.t4 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t42.t5 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.48/11.72  (step t42.t6 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.48/11.72  (step t42.t7 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.48/11.72  (step t42.t8 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 11.48/11.72  (step t42.t9 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t42.t10 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t42.t11 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.72  (step t42.t12 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t42.t13 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.72  (step t42.t14 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.72  (step t42.t15 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.48/11.72  (step t42.t16 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.72  (step t42.t17 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t42.t18 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule and_pos)
% 11.48/11.72  (step t42.t19 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.72  (step t42.t20 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.72  (step t42.t21 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.48/11.72  (step t42.t22 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 11.48/11.72  (step t42.t23 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.48/11.72  (step t42.t24 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.48/11.72  (step t42.t25 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) :rule and_pos)
% 11.48/11.72  (step t42.t26 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.48/11.72  (step t42.t27 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.48/11.72  (step t42.t28 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_pos)
% 11.48/11.72  (step t42.t29 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.48/11.72  (step t42.t30 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :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))
% 11.48/11.72  (step t42.t31 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule reordering :premises (t42.t30))
% 11.48/11.72  (step t42.t32 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule contraction :premises (t42.t31))
% 11.48/11.72  (step t42.t33 (cl (=> (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule resolution :premises (t42.t1 t42.t32))
% 11.48/11.72  (step t42.t34 (cl (=> (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule implies_neg2)
% 11.48/11.72  (step t42.t35 (cl (=> (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (=> (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule resolution :premises (t42.t33 t42.t34))
% 11.48/11.72  (step t42.t36 (cl (=> (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule contraction :premises (t42.t35))
% 11.48/11.72  (step t42.t37 (cl (not (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule implies :premises (t42.t36))
% 11.48/11.72  (step t42.t38 (cl (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (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.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 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.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_neg)
% 11.48/11.72  (step t42.t39 (cl (and (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t42.t38 t42.a8 t42.a1 t42.a4 t42.a3 t42.a6 t42.a5 t42.a0 t42.a11 t42.a13 t42.a12 t42.a22 t42.a25 t42.a9 t42.a17 t42.a10 t42.a24 t42.a21 t42.a14 t42.a19 t42.a26 t42.a20 t42.a18 t42.a7 t42.a15 t42.a16 t42.a23 t42.a2))
% 11.48/11.72  (step t42.t40 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule resolution :premises (t42.t37 t42.t39))
% 11.48/11.72  (step t42 (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.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :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))
% 11.48/11.72  (step t43 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t44 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t45 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.48/11.72  (step t46 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.48/11.72  (step t47 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.48/11.72  (step t48 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 11.48/11.72  (step t49 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.48/11.72  (step t50 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) :rule and_pos)
% 11.48/11.72  (step t51 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule and_pos)
% 11.48/11.72  (step t52 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.48/11.72  (step t53 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t54 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t55 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t56 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.72  (step t57 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.72  (step t58 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.48/11.72  (step t59 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.48/11.72  (step t60 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.72  (step t61 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.48/11.72  (step t62 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.48/11.72  (step t63 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.48/11.72  (step t64 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.72  (step t65 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.72  (step t66 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_pos)
% 11.48/11.72  (step t67 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule and_pos)
% 11.48/11.72  (step t68 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.72  (step t69 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 11.48/11.72  (step t70 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 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_c11 (tptp.multiply tptp.sk_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_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :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))
% 11.48/11.72  (step t71 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule reordering :premises (t70))
% 11.48/11.72  (step t72 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule contraction :premises (t71))
% 11.48/11.72  (step t73 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule resolution :premises (t41 t72))
% 11.48/11.72  (step t74 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule implies_neg2)
% 11.48/11.72  (step t75 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (=> (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule resolution :premises (t73 t74))
% 11.48/11.72  (step t76 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule contraction :premises (t75))
% 11.48/11.72  (step t77 (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.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule implies :premises (t76))
% 11.48/11.72  (step t78 (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.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule resolution :premises (t40 t77))
% 11.48/11.72  (step t79 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule or_neg)
% 11.48/11.72  (step t80 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule or_neg)
% 11.48/11.72  (step t81 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule or_neg)
% 11.48/11.72  (step t82 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule or_neg)
% 11.48/11.72  (step t83 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule or_neg)
% 11.48/11.72  (step t84 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule or_neg)
% 11.48/11.72  (step t85 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule or_neg)
% 11.48/11.72  (step t86 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) :rule or_neg)
% 11.48/11.72  (step t87 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))))) :rule or_neg)
% 11.48/11.72  (step t88 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule or_neg)
% 11.48/11.72  (step t89 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))))) :rule or_neg)
% 11.48/11.72  (step t90 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))))) :rule or_neg)
% 11.48/11.72  (step t91 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule or_neg)
% 11.48/11.72  (step t92 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule or_neg)
% 11.48/11.72  (step t93 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))))) :rule or_neg)
% 11.48/11.72  (step t94 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))))) :rule or_neg)
% 11.48/11.72  (step t95 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule or_neg)
% 11.48/11.72  (step t96 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule or_neg)
% 11.48/11.72  (step t97 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule or_neg)
% 11.48/11.72  (step t98 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule or_neg)
% 11.48/11.72  (step t99 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule or_neg)
% 11.48/11.72  (step t100 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule or_neg)
% 11.48/11.72  (step t101 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule or_neg)
% 11.48/11.72  (step t102 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))))) :rule or_neg)
% 11.48/11.72  (step t103 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))))) :rule or_neg)
% 11.48/11.72  (step t104 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))))) :rule or_neg)
% 11.48/11.72  (step t105 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule or_neg)
% 11.48/11.72  (step t106 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule or_neg)
% 11.48/11.72  (step t107 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule resolution :premises (t78 t79 t80 t81 t82 t83 t84 t85 t86 t87 t88 t89 t90 t91 t92 t93 t94 t95 t96 t97 t98 t99 t100 t101 t102 t103 t104 t105 t106))
% 11.48/11.72  (step t108 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (not (not (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule contraction :premises (t107))
% 11.48/11.72  (step t109 (cl (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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))))) :rule resolution :premises (t1 t39 t108))
% 11.48/11.72  (step t110 (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.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule or :premises (t109))
% 11.48/11.72  (step t111 (cl (= tptp.sk_c10 (tptp.inverse 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_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_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule reordering :premises (t110))
% 11.48/11.72  (step t112 (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_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.72  (anchor :step t113)
% 11.48/11.72  (assume t113.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.72  (step t113.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c8) (:= Z tptp.sk_c11)))
% 11.48/11.72  (step t113.t2 (cl (not (forall ((X $$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_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) :rule or :premises (t113.t1))
% 11.48/11.72  (step t113.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) :rule resolution :premises (t113.t2 t113.a0))
% 11.48/11.72  (step t113 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) :rule subproof :discharge (t113.a0))
% 11.48/11.72  (step t114 (cl (=> (forall ((X $$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_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) :rule resolution :premises (t112 t113))
% 11.48/11.72  (step t115 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule implies_neg2)
% 11.48/11.72  (step t116 (cl (=> (forall ((X $$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_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule resolution :premises (t114 t115))
% 11.48/11.72  (step t117 (cl (=> (forall ((X $$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_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11))))) :rule contraction :premises (t116))
% 11.48/11.72  (step t118 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) :rule implies :premises (t117))
% 11.48/11.72  (step t119 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c11) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) :rule resolution :premises (t118 a2))
% 11.48/11.72  (step t120 (cl (=> (forall ((X $$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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.72  (anchor :step t121)
% 11.48/11.72  (assume t121.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.72  (step t121.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c6)) (:= Y tptp.sk_c6) (:= Z tptp.sk_c7)))
% 11.48/11.72  (step t121.t2 (cl (not (forall ((X $$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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t121.t1))
% 11.48/11.72  (step t121.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t121.t2 t121.a0))
% 11.48/11.72  (step t121 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t121.a0))
% 11.48/11.72  (step t122 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t120 t121))
% 11.48/11.72  (step t123 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 11.48/11.72  (step t124 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t122 t123))
% 11.48/11.72  (step t125 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t124))
% 11.48/11.72  (step t126 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t125))
% 11.48/11.72  (step t127 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t126 a2))
% 11.48/11.72  (step t128 (cl (=> (forall ((X $$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_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.72  (anchor :step t129)
% 11.48/11.72  (assume t129.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.72  (step t129.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.sk_c3) (:= Y tptp.sk_c11) (:= Z tptp.sk_c10)))
% 11.48/11.72  (step t129.t2 (cl (not (forall ((X $$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_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule or :premises (t129.t1))
% 11.48/11.72  (step t129.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t129.t2 t129.a0))
% 11.48/11.72  (step t129 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule subproof :discharge (t129.a0))
% 11.48/11.72  (step t130 (cl (=> (forall ((X $$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_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t128 t129))
% 11.48/11.72  (step t131 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule implies_neg2)
% 11.48/11.72  (step t132 (cl (=> (forall ((X $$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_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule resolution :premises (t130 t131))
% 11.48/11.72  (step t133 (cl (=> (forall ((X $$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_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule contraction :premises (t132))
% 11.48/11.72  (step t134 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule implies :premises (t133))
% 11.48/11.72  (step t135 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t134 a2))
% 11.48/11.72  (step t136 (cl (=> (forall ((X $$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.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.72  (anchor :step t137)
% 11.48/11.72  (assume t137.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.72  (step t137.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c11)) (:= Y tptp.sk_c11) (:= Z (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.48/11.72  (step t137.t2 (cl (not (forall ((X $$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.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule or :premises (t137.t1))
% 11.48/11.72  (step t137.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule resolution :premises (t137.t2 t137.a0))
% 11.48/11.72  (step t137 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule subproof :discharge (t137.a0))
% 11.48/11.72  (step t138 (cl (=> (forall ((X $$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.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule resolution :premises (t136 t137))
% 11.48/11.72  (step t139 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule implies_neg2)
% 11.48/11.72  (step t140 (cl (=> (forall ((X $$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.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t138 t139))
% 11.48/11.72  (step t141 (cl (=> (forall ((X $$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.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule contraction :premises (t140))
% 11.48/11.72  (step t142 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies :premises (t141))
% 11.48/11.72  (step t143 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule resolution :premises (t142 a2))
% 11.48/11.72  (step t144 (cl (=> (forall ((X $$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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.72  (anchor :step t145)
% 11.48/11.72  (assume t145.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.72  (step t145.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c5)) (:= Y tptp.sk_c5) (:= Z tptp.sk_c8)))
% 11.48/11.72  (step t145.t2 (cl (not (forall ((X $$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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule or :premises (t145.t1))
% 11.48/11.72  (step t145.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t145.t2 t145.a0))
% 11.48/11.72  (step t145 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule subproof :discharge (t145.a0))
% 11.48/11.72  (step t146 (cl (=> (forall ((X $$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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t144 t145))
% 11.48/11.72  (step t147 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule implies_neg2)
% 11.48/11.72  (step t148 (cl (=> (forall ((X $$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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule resolution :premises (t146 t147))
% 11.48/11.72  (step t149 (cl (=> (forall ((X $$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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule contraction :premises (t148))
% 11.48/11.72  (step t150 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule implies :premises (t149))
% 11.48/11.72  (step t151 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t150 a2))
% 11.48/11.72  (step t152 (cl (not (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule equiv_pos2)
% 11.48/11.72  (step t153 (cl (= (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule all_simplify)
% 11.48/11.72  (step t154 (cl (= (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule all_simplify)
% 11.48/11.72  (step t155 (cl (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) :rule cong :premises (t153 t154))
% 11.48/11.72  (step t156 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule resolution :premises (t152 t155 a12))
% 11.48/11.72  (step t157 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) :rule or :premises (t156))
% 11.48/11.72  (step t158 (cl (not (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.multiply X3 X4) tptp.sk_c11)) (not (= (tptp.inverse X3) X4)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))) (or (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (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.inverse tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.multiply X3 X4) tptp.sk_c11)) (not (= (tptp.inverse X3) X4)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) 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.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (forall ((X1 $$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 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule equiv_pos2)
% 11.48/11.72  (anchor :step t159 :args ((X3 $$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)))
% 11.48/11.72  (step t159.t1 (cl (= X3 X3)) :rule refl)
% 11.48/11.72  (step t159.t2 (cl (= X4 X4)) :rule refl)
% 11.48/11.72  (step t159.t3 (cl (= X1 X1)) :rule refl)
% 11.48/11.72  (step t159.t4 (cl (= X2 X2)) :rule refl)
% 11.48/11.72  (step t159.t5 (cl (= X5 X5)) :rule refl)
% 11.48/11.72  (step t159.t6 (cl (= X6 X6)) :rule refl)
% 11.48/11.72  (step t159.t7 (cl (= X7 X7)) :rule refl)
% 11.48/11.72  (step t159.t8 (cl (= X8 X8)) :rule refl)
% 11.48/11.72  (step t159.t9 (cl (= (not (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))) :rule cong :premises (t153))
% 11.48/11.72  (step t159.t10 (cl (= (= (tptp.multiply X3 X4) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply X3 X4)))) :rule all_simplify)
% 11.48/11.72  (step t159.t11 (cl (= (not (= (tptp.multiply X3 X4) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.multiply X3 X4))))) :rule cong :premises (t159.t10))
% 11.48/11.72  (step t159.t12 (cl (= (= (tptp.inverse X3) X4) (= X4 (tptp.inverse X3)))) :rule all_simplify)
% 11.48/11.72  (step t159.t13 (cl (= (not (= (tptp.inverse X3) X4)) (not (= X4 (tptp.inverse X3))))) :rule cong :premises (t159.t12))
% 11.48/11.72  (step t159.t14 (cl (= (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10)))) :rule all_simplify)
% 11.48/11.72  (step t159.t15 (cl (= (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10))))) :rule cong :premises (t159.t14))
% 11.48/11.72  (step t159.t16 (cl (= (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule all_simplify)
% 11.48/11.72  (step t159.t17 (cl (= (not (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))))) :rule cong :premises (t159.t16))
% 11.48/11.72  (step t159.t18 (cl (= (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11)))) :rule all_simplify)
% 11.48/11.72  (step t159.t19 (cl (= (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))))) :rule cong :premises (t159.t18))
% 11.48/11.72  (step t159.t20 (cl (= (= (tptp.inverse X1) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse X1)))) :rule all_simplify)
% 11.48/11.72  (step t159.t21 (cl (= (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.inverse X1))))) :rule cong :premises (t159.t20))
% 11.48/11.72  (step t159.t22 (cl (= (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10)))) :rule all_simplify)
% 11.48/11.72  (step t159.t23 (cl (= (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))))) :rule cong :premises (t159.t22))
% 11.48/11.72  (step t159.t24 (cl (= (= (tptp.inverse X2) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse X2)))) :rule all_simplify)
% 11.48/11.72  (step t159.t25 (cl (= (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse X2))))) :rule cong :premises (t159.t24))
% 11.48/11.72  (step t159.t26 (cl (= (= (tptp.multiply X5 X6) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply X5 X6)))) :rule all_simplify)
% 11.48/11.72  (step t159.t27 (cl (= (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.multiply X5 X6))))) :rule cong :premises (t159.t26))
% 11.48/11.72  (step t159.t28 (cl (= (= (tptp.inverse X5) X6) (= X6 (tptp.inverse X5)))) :rule all_simplify)
% 11.48/11.72  (step t159.t29 (cl (= (not (= (tptp.inverse X5) X6)) (not (= X6 (tptp.inverse X5))))) :rule cong :premises (t159.t28))
% 11.48/11.72  (step t159.t30 (cl (= (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10)))) :rule all_simplify)
% 11.48/11.72  (step t159.t31 (cl (= (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))))) :rule cong :premises (t159.t30))
% 11.48/11.72  (step t159.t32 (cl (= (= (tptp.inverse X7) X8) (= X8 (tptp.inverse X7)))) :rule all_simplify)
% 11.48/11.72  (step t159.t33 (cl (= (not (= (tptp.inverse X7) X8)) (not (= X8 (tptp.inverse X7))))) :rule cong :premises (t159.t32))
% 11.48/11.72  (step t159.t34 (cl (= (= (tptp.inverse X8) X6) (= X6 (tptp.inverse X8)))) :rule all_simplify)
% 11.48/11.72  (step t159.t35 (cl (= (not (= (tptp.inverse X8) X6)) (not (= X6 (tptp.inverse X8))))) :rule cong :premises (t159.t34))
% 11.48/11.72  (step t159.t36 (cl (= (= (tptp.multiply X7 X6) X8) (= X8 (tptp.multiply X7 X6)))) :rule all_simplify)
% 11.48/11.72  (step t159.t37 (cl (= (not (= (tptp.multiply X7 X6) X8)) (not (= X8 (tptp.multiply X7 X6))))) :rule cong :premises (t159.t36))
% 11.48/11.72  (step t159.t38 (cl (= (or (not (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.multiply X3 X4) tptp.sk_c11)) (not (= (tptp.inverse X3) X4)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) 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.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply X3 X4))) (not (= X4 (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (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 (t159.t9 t159.t11 t159.t13 t159.t15 t159.t17 t159.t19 t159.t21 t159.t23 t159.t25 t159.t27 t159.t29 t159.t31 t159.t33 t159.t35 t159.t37))
% 11.48/11.72  (step t159 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.multiply X3 X4) tptp.sk_c11)) (not (= (tptp.inverse X3) X4)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply X3 X4))) (not (= X4 (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))))) :rule bind)
% 11.48/11.72  (step t160 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply X3 X4))) (not (= X4 (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))) (or (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 X4))) (not (= X4 (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10))))) (forall ((X1 $$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 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6)))))))) :rule all_simplify)
% 11.48/11.72  (step t161 (cl (= (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))))) :rule refl)
% 11.48/11.72  (step t162 (cl (= (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))))) :rule refl)
% 11.48/11.72  (step t163 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 X4))) (not (= X4 (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= (tptp.inverse X3) (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))))) :rule all_simplify)
% 11.48/11.72  (anchor :step t164 :args ((X3 $$unsorted) (:= X3 X3)))
% 11.48/11.72  (step t164.t1 (cl (= X3 X3)) :rule refl)
% 11.48/11.72  (step t164.t2 (cl (= (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))))) :rule refl)
% 11.48/11.72  (step t164.t3 (cl (= (= (tptp.inverse X3) (tptp.inverse X3)) true)) :rule all_simplify)
% 11.48/11.72  (step t164.t4 (cl (= (not (= (tptp.inverse X3) (tptp.inverse X3))) (not true))) :rule cong :premises (t164.t3))
% 11.48/11.72  (step t164.t5 (cl (= (not true) false)) :rule all_simplify)
% 11.48/11.72  (step t164.t6 (cl (= (not (= (tptp.inverse X3) (tptp.inverse X3))) false)) :rule trans :premises (t164.t4 t164.t5))
% 11.48/11.72  (step t164.t7 (cl (= (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) :rule refl)
% 11.48/11.72  (step t164.t8 (cl (= (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= (tptp.inverse X3) (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) false (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) :rule cong :premises (t164.t2 t164.t6 t164.t7))
% 11.48/11.72  (step t164.t9 (cl (= (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) false (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) :rule all_simplify)
% 11.48/11.72  (step t164.t10 (cl (= (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= (tptp.inverse X3) (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) :rule trans :premises (t164.t8 t164.t9))
% 11.48/11.72  (step t164 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= (tptp.inverse X3) (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))))) :rule bind)
% 11.48/11.72  (step t165 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 X4))) (not (= X4 (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))))) :rule trans :premises (t163 t164))
% 11.48/11.72  (step t166 (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)
% 11.48/11.72  (step t167 (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)
% 11.48/11.72  (step t168 (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)
% 11.48/11.72  (anchor :step t169 :args ((X5 $$unsorted) (:= X5 X5) (X7 $$unsorted) (:= X7 X7)))
% 11.48/11.72  (step t169.t1 (cl (= X5 X5)) :rule refl)
% 11.48/11.72  (step t169.t2 (cl (= X7 X7)) :rule refl)
% 11.48/11.72  (step t169.t3 (cl (= (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))))) :rule refl)
% 11.48/11.72  (step t169.t4 (cl (= (= (tptp.inverse X5) (tptp.inverse X5)) true)) :rule all_simplify)
% 11.48/11.72  (step t169.t5 (cl (= (not (= (tptp.inverse X5) (tptp.inverse X5))) (not true))) :rule cong :premises (t169.t4))
% 11.48/11.72  (step t169.t6 (cl (= (not true) false)) :rule all_simplify)
% 11.48/11.72  (step t169.t7 (cl (= (not (= (tptp.inverse X5) (tptp.inverse X5))) false)) :rule trans :premises (t169.t5 t169.t6))
% 11.48/11.72  (step t169.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)
% 11.48/11.72  (step t169.t9 (cl (= (= (tptp.inverse X7) (tptp.inverse X7)) true)) :rule all_simplify)
% 11.48/11.72  (step t169.t10 (cl (= (not (= (tptp.inverse X7) (tptp.inverse X7))) (not true))) :rule cong :premises (t169.t9))
% 11.48/11.72  (step t169.t11 (cl (= (not (= (tptp.inverse X7) (tptp.inverse X7))) false)) :rule trans :premises (t169.t10 t169.t6))
% 11.48/11.72  (step t169.t12 (cl (= (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))))) :rule refl)
% 11.48/11.72  (step t169.t13 (cl (= (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) :rule refl)
% 11.48/11.72  (step t169.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 (t169.t3 t169.t7 t169.t8 t169.t11 t169.t12 t169.t13))
% 11.48/11.72  (step t169.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)
% 11.48/11.72  (step t169.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 (t169.t14 t169.t15))
% 11.48/11.72  (step t169 (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)
% 11.48/11.72  (step t170 (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 (t168 t169))
% 11.48/11.72  (step t171 (cl (= (or (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 X4))) (not (= X4 (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10))))) (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.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (forall ((X1 $$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 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))))) :rule cong :premises (t161 t162 t165 t166 t167 t170))
% 11.48/11.72  (step t172 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply X3 X4))) (not (= X4 (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))) (or (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (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 (t160 t171))
% 11.48/11.72  (step t173 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.multiply X3 X4) tptp.sk_c11)) (not (= (tptp.inverse X3) X4)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) 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.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (forall ((X1 $$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 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))))) :rule trans :premises (t159 t172))
% 11.48/11.72  (step t174 (cl (or (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (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 (t158 t173 a53))
% 11.48/11.72  (step t175 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (forall ((X1 $$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 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t174))
% 11.48/11.72  (step t176 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (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 reordering :premises (t175))
% 11.48/11.72  (step t177 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) :rule implies_neg1)
% 11.48/11.72  (anchor :step t178)
% 11.48/11.72  (assume t178.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))))
% 11.48/11.72  (step t178.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) (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)))))) :rule forall_inst :args ((:= X3 tptp.sk_c3)))
% 11.48/11.72  (step t178.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) :rule or :premises (t178.t1))
% 11.48/11.72  (step t178.t3 (cl (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) :rule resolution :premises (t178.t2 t178.a0))
% 11.48/11.72  (step t178 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) (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))))) :rule subproof :discharge (t178.a0))
% 11.48/11.72  (step t179 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) :rule resolution :premises (t177 t178))
% 11.48/11.72  (step t180 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (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 (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)))))) :rule implies_neg2)
% 11.48/11.72  (step t181 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (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)))))) :rule resolution :premises (t179 t180))
% 11.48/11.72  (step t182 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))))) :rule contraction :premises (t181))
% 11.48/11.72  (step t183 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) (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))))) :rule implies :premises (t182))
% 11.48/11.72  (step t184 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (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)
% 11.48/11.72  (anchor :step t185)
% 11.48/11.72  (assume t185.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)))))))
% 11.48/11.72  (step t185.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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))))) :rule forall_inst :args ((:= X5 tptp.sk_c3) (:= X7 tptp.sk_c11)))
% 11.48/11.72  (step t185.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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule or :premises (t185.t1))
% 11.48/11.72  (step t185.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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t185.t2 t185.a0))
% 11.48/11.72  (step t185 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule subproof :discharge (t185.a0))
% 11.48/11.72  (step t186 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t184 t185))
% 11.48/11.72  (step t187 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))))) :rule implies_neg2)
% 11.48/11.72  (step t188 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t186 t187))
% 11.48/11.72  (step t189 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))))) :rule contraction :premises (t188))
% 11.48/11.72  (step t190 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule implies :premises (t189))
% 11.48/11.72  (step t191 (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)
% 11.48/11.72  (anchor :step t192)
% 11.48/11.72  (assume t192.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))
% 11.48/11.72  (step t192.t1 (cl (or (not (forall ((X2 $$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)))
% 11.48/11.72  (step t192.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule or :premises (t192.t1))
% 11.48/11.72  (step t192.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t192.t2 t192.a0))
% 11.48/11.72  (step t192 (cl (not (forall ((X2 $$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 (t192.a0))
% 11.48/11.72  (step t193 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t191 t192))
% 11.48/11.72  (step t194 (cl (=> (forall ((X2 $$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)
% 11.48/11.72  (step t195 (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 (t193 t194))
% 11.48/11.72  (step t196 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t195))
% 11.48/11.72  (step t197 (cl (not (forall ((X2 $$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 (t196))
% 11.48/11.72  (step t198 (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.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)))) :rule or_pos)
% 11.48/11.72  (step t199 (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 (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)))))) :rule reordering :premises (t198))
% 11.48/11.72  (step t200 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply 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.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule or_pos)
% 11.48/11.72  (step t201 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))))) :rule reordering :premises (t200))
% 11.48/11.72  (step t202 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) :rule implies_neg1)
% 11.48/11.72  (anchor :step t203)
% 11.48/11.72  (assume t203.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))
% 11.48/11.72  (step t203.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) (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 ((:= X1 tptp.sk_c3)))
% 11.48/11.72  (step t203.t2 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t203.t1))
% 11.48/11.72  (step t203.t3 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t203.t2 t203.a0))
% 11.48/11.72  (step t203 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) (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 (t203.a0))
% 11.48/11.72  (step t204 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t202 t203))
% 11.48/11.72  (step t205 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (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)
% 11.48/11.72  (step t206 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (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 (t204 t205))
% 11.48/11.72  (step t207 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t206))
% 11.48/11.72  (step t208 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) (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 (t207))
% 11.48/11.72  (step t209 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.48/11.72  (step t210 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.48/11.72  (anchor :step t211)
% 11.48/11.72  (assume t211.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.72  (assume t211.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.72  (assume t211.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.72  (assume t211.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.48/11.72  (assume t211.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.48/11.72  (assume t211.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.48/11.72  (assume t211.a6 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.72  (assume t211.a7 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.48/11.72  (assume t211.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.72  (assume t211.a9 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.72  (assume t211.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.48/11.72  (assume t211.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.72  (assume t211.a12 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.72  (assume t211.a13 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.72  (assume t211.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.48/11.72  (assume t211.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.48/11.72  (assume t211.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.48/11.72  (assume t211.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))
% 11.48/11.72  (assume t211.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.48/11.72  (assume t211.a19 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.72  (assume t211.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.72  (assume t211.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.72  (step t211.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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 implies_neg1)
% 11.48/11.72  (anchor :step t211.t2)
% 11.48/11.72  (assume t211.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.72  (assume t211.t2.a1 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.72  (assume t211.t2.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.72  (assume t211.t2.a3 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.72  (assume t211.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.72  (assume t211.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.72  (assume t211.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.72  (assume t211.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.72  (assume t211.t2.a8 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.72  (assume t211.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))
% 11.48/11.72  (assume t211.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.72  (assume t211.t2.a11 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.72  (assume t211.t2.a12 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.72  (assume t211.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.48/11.72  (assume t211.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.48/11.72  (assume t211.t2.a15 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.48/11.72  (assume t211.t2.a16 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.48/11.72  (assume t211.t2.a17 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.48/11.72  (assume t211.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.48/11.72  (assume t211.t2.a19 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.48/11.72  (assume t211.t2.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.48/11.72  (assume t211.t2.a21 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.48/11.72  (step t211.t2.t1 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t211.t2.a11))
% 11.48/11.72  (step t211.t2.t2 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t211.t2.t1))
% 11.48/11.72  (step t211.t2.t3 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.48/11.72  (step t211.t2.t4 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t211.t2.a4 t211.t2.t3))
% 11.48/11.72  (step t211.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t211.t2.a10))
% 11.48/11.72  (step t211.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule symm :premises (t211.t2.t5))
% 11.48/11.72  (step t211.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t211.t2.a1))
% 11.48/11.72  (step t211.t2.t8 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t211.t2.a2))
% 11.48/11.72  (step t211.t2.t9 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t211.t2.t7 t211.t2.t8))
% 11.48/11.72  (step t211.t2.t10 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t211.t2.t9))
% 11.48/11.72  (step t211.t2.t11 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t211.t2.t7 t211.t2.t3))
% 11.48/11.72  (step t211.t2.t12 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t211.t2.a0 t211.t2.t10 t211.t2.t11))
% 11.48/11.72  (step t211.t2.t13 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c10)) :rule symm :premises (t211.t2.t12))
% 11.48/11.72  (step t211.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t211.t2.t3 t211.t2.t13))
% 11.48/11.72  (step t211.t2.t15 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.48/11.72  (step t211.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t211.t2.t8 t211.t2.t15))
% 11.48/11.72  (step t211.t2.t17 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.48/11.72  (step t211.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t211.t2.a15))
% 11.48/11.72  (step t211.t2.t19 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t211.t2.t18))
% 11.48/11.72  (step t211.t2.t20 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t211.t2.t17 t211.t2.t19))
% 11.48/11.72  (step t211.t2.t21 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t211.t2.a14))
% 11.48/11.72  (step t211.t2.t22 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t211.t2.a12 t211.t2.t17))
% 11.48/11.72  (step t211.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t211.t2.a12))
% 11.48/11.72  (step t211.t2.t24 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t211.t2.a2 t211.t2.t2 t211.t2.t4 t211.t2.t6 t211.t2.t14 t211.t2.t16))
% 11.48/11.72  (step t211.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t211.t2.t23 t211.t2.t24))
% 11.48/11.72  (step t211.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule cong :premises (t211.t2.t25 t211.t2.t17))
% 11.48/11.72  (step t211.t2.t27 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t211.t2.a13))
% 11.48/11.72  (step t211.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t211.t2.t27))
% 11.48/11.72  (step t211.t2.t29 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t211.t2.a8))
% 11.48/11.72  (step t211.t2.t30 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t211.t2.t29))
% 11.48/11.72  (step t211.t2.t31 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t211.t2.t30 t211.t2.t17))
% 11.48/11.72  (step t211.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule symm :premises (t211.t2.t31))
% 11.48/11.72  (step t211.t2.t33 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t211.t2.a7 t211.t2.t32))
% 11.48/11.72  (step t211.t2.t34 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule symm :premises (t211.t2.t33))
% 11.48/11.72  (step t211.t2.t35 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t211.t2.a12 t211.t2.t34))
% 11.48/11.72  (step t211.t2.t36 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.48/11.72  (step t211.t2.t37 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t211.t2.a12 t211.t2.t36))
% 11.48/11.72  (step t211.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule symm :premises (t211.t2.t37))
% 11.48/11.72  (step t211.t2.t39 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t211.t2.t22 t211.t2.t26 t211.t2.t28 t211.t2.t35 t211.t2.t38))
% 11.48/11.72  (step t211.t2.t40 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule symm :premises (t211.t2.t39))
% 11.48/11.72  (step t211.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t211.t2.t40 t211.t2.t15))
% 11.48/11.72  (step t211.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t211.t2.t23 t211.t2.t24))
% 11.48/11.72  (step t211.t2.t43 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t211.t2.t42))
% 11.48/11.72  (step t211.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity))) :rule cong :premises (t211.t2.t25 t211.t2.t36))
% 11.48/11.72  (step t211.t2.t45 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity))) :rule symm :premises (t211.t2.a9))
% 11.48/11.72  (step t211.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule symm :premises (t211.t2.t45))
% 11.48/11.72  (step t211.t2.t47 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t211.t2.t11))
% 11.48/11.72  (step t211.t2.t48 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t211.t2.a0))
% 11.48/11.72  (step t211.t2.t49 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t211.t2.a2))
% 11.48/11.72  (step t211.t2.t50 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t211.t2.t47 t211.t2.t9 t211.t2.t48 t211.t2.t30 t211.t2.t49))
% 11.48/11.72  (step t211.t2.t51 (cl (= tptp.sk_c10 (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t211.t2.t12 t211.t2.t50))
% 11.48/11.72  (step t211.t2.t52 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule cong :premises (t211.t2.t51 t211.t2.t33))
% 11.48/11.72  (step t211.t2.t53 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.48/11.72  (step t211.t2.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t211.t2.a7))
% 11.48/11.72  (step t211.t2.t55 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule trans :premises (t211.t2.t31 t211.t2.t54 t211.t2.a4))
% 11.48/11.72  (step t211.t2.t56 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t211.t2.t53 t211.t2.t55))
% 11.48/11.72  (step t211.t2.t57 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t211.t2.a6))
% 11.48/11.72  (step t211.t2.t58 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t211.t2.a5))
% 11.48/11.72  (step t211.t2.t59 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.48/11.72  (step t211.t2.t60 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t211.t2.t58 t211.t2.t59))
% 11.48/11.72  (step t211.t2.t61 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) tptp.sk_c3)) :rule trans :premises (t211.t2.t52 t211.t2.t56 t211.t2.t57 t211.t2.t60 t211.t2.t7))
% 11.48/11.72  (step t211.t2.t62 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule cong :premises (t211.t2.a2 t211.t2.t61))
% 11.48/11.72  (step t211.t2.t63 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t211.t2.a4))
% 11.48/11.72  (step t211.t2.t64 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t211.t2.a21))
% 11.48/11.72  (step t211.t2.t65 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t211.t2.t64))
% 11.48/11.72  (step t211.t2.t66 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t211.t2.a20))
% 11.48/11.72  (step t211.t2.t67 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t211.t2.t66))
% 11.48/11.72  (step t211.t2.t68 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t211.t2.a19))
% 11.48/11.72  (step t211.t2.t69 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t211.t2.t35))
% 11.48/11.72  (step t211.t2.t70 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule trans :premises (t211.t2.t37 t211.t2.t69 t211.t2.t27))
% 11.48/11.72  (step t211.t2.t71 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t211.t2.t28 t211.t2.t35 t211.t2.t44 t211.t2.t46 t211.t2.t62 t211.t2.t63))
% 11.48/11.72  (step t211.t2.t72 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.identity)) :rule trans :premises (t211.t2.t39 t211.t2.t70 t211.t2.t71))
% 11.48/11.72  (step t211.t2.t73 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t211.t2.t72 t211.t2.t12))
% 11.48/11.72  (step t211.t2.t74 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t211.t2.t73))
% 11.48/11.72  (step t211.t2.t75 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t211.t2.t68 t211.t2.a0 t211.t2.t10 t211.t2.a3 t211.t2.t74 t211.t2.a18 t211.t2.t43 t211.t2.t26 t211.t2.t28 t211.t2.t35 t211.t2.t44 t211.t2.t46 t211.t2.t62 t211.t2.t63))
% 11.48/11.72  (step t211.t2.t76 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.48/11.72  (step t211.t2.t77 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t211.t2.t75 t211.t2.t76))
% 11.48/11.72  (step t211.t2.t78 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t211.t2.a17))
% 11.48/11.72  (step t211.t2.t79 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t211.t2.t67 t211.t2.t77 t211.t2.t78))
% 11.48/11.72  (step t211.t2.t80 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule symm :premises (t211.t2.t62))
% 11.48/11.72  (step t211.t2.t81 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule symm :premises (t211.t2.t44))
% 11.48/11.72  (step t211.t2.t82 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t211.t2.t26))
% 11.48/11.72  (step t211.t2.t83 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t211.t2.a18))
% 11.48/11.72  (step t211.t2.t84 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t211.t2.t41))
% 11.48/11.72  (step t211.t2.t85 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t211.t2.t20))
% 11.48/11.72  (step t211.t2.t86 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule symm :premises (t211.t2.t16))
% 11.48/11.72  (step t211.t2.t87 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule symm :premises (t211.t2.t14))
% 11.48/11.72  (step t211.t2.t88 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t211.t2.t4))
% 11.48/11.72  (step t211.t2.t89 (cl (= tptp.identity tptp.sk_c11)) :rule trans :premises (t211.t2.a4 t211.t2.t80 t211.t2.t45 t211.t2.t81 t211.t2.t69 t211.t2.t27 t211.t2.t82 t211.t2.t42 t211.t2.t83 t211.t2.t84 t211.t2.a14 t211.t2.t85 t211.t2.t86 t211.t2.t87 t211.t2.t5 t211.t2.t88 t211.t2.t1 t211.t2.t8))
% 11.48/11.72  (step t211.t2.t90 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c11))) :rule cong :premises (t211.t2.t79 t211.t2.t89))
% 11.48/11.72  (step t211.t2.t91 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t211.t2.a3))
% 11.48/11.72  (step t211.t2.t92 (cl (= tptp.sk_c11 tptp.sk_c10)) :rule trans :premises (t211.t2.a2 t211.t2.t2 t211.t2.t4 t211.t2.t6 t211.t2.t14 t211.t2.t16 t211.t2.t20 t211.t2.t21 t211.t2.t41 t211.t2.t73 t211.t2.t91 t211.t2.t9 t211.t2.t48))
% 11.48/11.72  (step t211.t2.t93 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c11) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t211.t2.t76 t211.t2.t92))
% 11.48/11.72  (step t211.t2.t94 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t211.t2.a16))
% 11.48/11.72  (step t211.t2.t95 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t211.t2.t65 t211.t2.t90 t211.t2.t93 t211.t2.t94))
% 11.48/11.72  (step t211.t2.t96 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c9 tptp.sk_c11))) :rule cong :premises (t211.t2.t95 t211.t2.t89))
% 11.48/11.72  (step t211.t2.t97 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.48/11.72  (step t211.t2.t98 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c11) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule cong :premises (t211.t2.t97 t211.t2.t92))
% 11.48/11.72  (step t211.t2.t99 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule trans :premises (t211.t2.a2 t211.t2.t2 t211.t2.t4 t211.t2.t6 t211.t2.t14 t211.t2.t16 t211.t2.t20 t211.t2.t21 t211.t2.t41 t211.t2.a18 t211.t2.t43 t211.t2.t26 t211.t2.t28 t211.t2.t35 t211.t2.t44 t211.t2.t46 t211.t2.t62 t211.t2.t63 t211.t2.t65 t211.t2.t96 t211.t2.t98))
% 11.48/11.72  (step t211.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule subproof :discharge (t211.t2.a0 t211.t2.a1 t211.t2.a2 t211.t2.a3 t211.t2.a4 t211.t2.a5 t211.t2.a6 t211.t2.a7 t211.t2.a8 t211.t2.a9 t211.t2.a10 t211.t2.a11 t211.t2.a12 t211.t2.a13 t211.t2.a14 t211.t2.a15 t211.t2.a16 t211.t2.a17 t211.t2.a18 t211.t2.a19 t211.t2.a20 t211.t2.a21))
% 11.48/11.72  (step t211.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t211.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t211.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t211.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.72  (step t211.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t211.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.72  (step t211.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.72  (step t211.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t211.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t211.t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule and_pos)
% 11.48/11.72  (step t211.t13 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.72  (step t211.t14 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.72  (step t211.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t211.t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.72  (step t211.t17 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.48/11.72  (step t211.t18 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.48/11.72  (step t211.t19 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.48/11.72  (step t211.t20 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.48/11.72  (step t211.t21 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.72  (step t211.t22 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.48/11.72  (step t211.t23 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.48/11.72  (step t211.t24 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.48/11.72  (step t211.t25 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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 resolution :premises (t211.t2 t211.t3 t211.t4 t211.t5 t211.t6 t211.t7 t211.t8 t211.t9 t211.t10 t211.t11 t211.t12 t211.t13 t211.t14 t211.t15 t211.t16 t211.t17 t211.t18 t211.t19 t211.t20 t211.t21 t211.t22 t211.t23 t211.t24))
% 11.48/11.72  (step t211.t26 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule reordering :premises (t211.t25))
% 11.48/11.72  (step t211.t27 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule contraction :premises (t211.t26))
% 11.48/11.72  (step t211.t28 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t211.t1 t211.t27))
% 11.48/11.72  (step t211.t29 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule implies_neg2)
% 11.48/11.72  (step t211.t30 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule resolution :premises (t211.t28 t211.t29))
% 11.48/11.72  (step t211.t31 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule contraction :premises (t211.t30))
% 11.48/11.72  (step t211.t32 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule implies :premises (t211.t31))
% 11.48/11.72  (step t211.t33 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 11.48/11.72  (step t211.t34 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= 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.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 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 resolution :premises (t211.t33 t211.a1 t211.a9 t211.a2 t211.a19 t211.a11 t211.a13 t211.a20 t211.a8 t211.a0 t211.a17 t211.a21 t211.a12 t211.a6 t211.a18 t211.a15 t211.a7 t211.a3 t211.a10 t211.a16 t211.a4 t211.a14 t211.a5))
% 11.48/11.72  (step t211.t35 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t211.t32 t211.t34))
% 11.48/11.72  (step t211 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule subproof :discharge (t211.a0 t211.a1 t211.a2 t211.a3 t211.a4 t211.a5 t211.a6 t211.a7 t211.a8 t211.a9 t211.a10 t211.a11 t211.a12 t211.a13 t211.a14 t211.a15 t211.a16 t211.a17 t211.a18 t211.a19 t211.a20 t211.a21))
% 11.48/11.72  (step t212 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t213 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t214 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t215 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.48/11.72  (step t216 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.48/11.72  (step t217 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.48/11.72  (step t218 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t219 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.48/11.72  (step t220 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.72  (step t221 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t222 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.48/11.72  (step t223 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.72  (step t224 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.72  (step t225 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.72  (step t226 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.48/11.72  (step t227 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.48/11.72  (step t228 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.72  (step t229 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule and_pos)
% 11.48/11.72  (step t230 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t231 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t232 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t233 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t234 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t211 t212 t213 t214 t215 t216 t217 t218 t219 t220 t221 t222 t223 t224 t225 t226 t227 t228 t229 t230 t231 t232 t233))
% 11.48/11.73  (step t235 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule reordering :premises (t234))
% 11.48/11.73  (step t236 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule contraction :premises (t235))
% 11.48/11.73  (step t237 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t210 t236))
% 11.48/11.73  (step t238 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule implies_neg2)
% 11.48/11.73  (step t239 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule resolution :premises (t237 t238))
% 11.48/11.73  (step t240 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule contraction :premises (t239))
% 11.48/11.73  (step t241 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.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_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule implies :premises (t240))
% 11.48/11.73  (step t242 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t209 t241))
% 11.48/11.73  (step t243 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule reordering :premises (t242))
% 11.48/11.73  (step t244 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t245)
% 11.48/11.73  (assume t245.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.73  (step t245.t1 (cl (or (not (forall ((X $$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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3)) (:= Y tptp.sk_c3) (:= Z (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (step t245.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t245.t1))
% 11.48/11.73  (step t245.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t245.t2 t245.a0))
% 11.48/11.73  (step t245 (cl (not (forall ((X $$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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t245.a0))
% 11.48/11.73  (step t246 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t244 t245))
% 11.48/11.73  (step t247 (cl (=> (forall ((X $$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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.48/11.73  (step t248 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t246 t247))
% 11.48/11.73  (step t249 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t248))
% 11.48/11.73  (step t250 (cl (not (forall ((X $$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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t249))
% 11.48/11.73  (step t251 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t250 a2))
% 11.48/11.73  (step t252 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t253)
% 11.48/11.73  (assume t253.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.73  (step t253.t1 (cl (or (not (forall ((X $$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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.inverse tptp.sk_c3))) (:= Y (tptp.inverse tptp.sk_c3)) (:= Z tptp.sk_c3)))
% 11.48/11.73  (step t253.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule or :premises (t253.t1))
% 11.48/11.73  (step t253.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t253.t2 t253.a0))
% 11.48/11.73  (step t253 (cl (not (forall ((X $$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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule subproof :discharge (t253.a0))
% 11.48/11.73  (step t254 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t252 t253))
% 11.48/11.73  (step t255 (cl (=> (forall ((X $$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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule implies_neg2)
% 11.48/11.73  (step t256 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule resolution :premises (t254 t255))
% 11.48/11.73  (step t257 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule contraction :premises (t256))
% 11.48/11.73  (step t258 (cl (not (forall ((X $$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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies :premises (t257))
% 11.48/11.73  (step t259 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t258 a2))
% 11.48/11.73  (step t260 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t261)
% 11.48/11.73  (assume t261.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.73  (step t261.t1 (cl (or (not (forall ((X $$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.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y tptp.sk_c3) (:= Z (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (step t261.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t261.t1))
% 11.48/11.73  (step t261.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t261.t2 t261.a0))
% 11.48/11.73  (step t261 (cl (not (forall ((X $$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.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t261.a0))
% 11.48/11.73  (step t262 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t260 t261))
% 11.48/11.73  (step t263 (cl (=> (forall ((X $$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.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.48/11.73  (step t264 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X $$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.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t262 t263))
% 11.48/11.73  (step t265 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t264))
% 11.48/11.73  (step t266 (cl (not (forall ((X $$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.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t265))
% 11.48/11.73  (step t267 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t266 a2))
% 11.48/11.73  (step t268 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t269)
% 11.48/11.73  (assume t269.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.73  (step t269.t1 (cl (or (not (forall ((X $$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_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) :rule forall_inst :args ((:= X tptp.sk_c11) (:= Y tptp.sk_c10) (:= Z tptp.sk_c11)))
% 11.48/11.73  (step t269.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule or :premises (t269.t1))
% 11.48/11.73  (step t269.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule resolution :premises (t269.t2 t269.a0))
% 11.48/11.73  (step t269 (cl (not (forall ((X $$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_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule subproof :discharge (t269.a0))
% 11.48/11.73  (step t270 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule resolution :premises (t268 t269))
% 11.48/11.73  (step t271 (cl (=> (forall ((X $$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_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) :rule implies_neg2)
% 11.48/11.73  (step t272 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) :rule resolution :premises (t270 t271))
% 11.48/11.73  (step t273 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) :rule contraction :premises (t272))
% 11.48/11.73  (step t274 (cl (not (forall ((X $$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_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule implies :premises (t273))
% 11.48/11.73  (step t275 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule resolution :premises (t274 a2))
% 11.48/11.73  (step t276 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t277)
% 11.48/11.73  (assume t277.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.73  (step t277.t1 (cl (or (not (forall ((X $$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_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))) :rule forall_inst :args ((:= X tptp.sk_c11) (:= Y tptp.sk_c10) (:= Z tptp.identity)))
% 11.48/11.73  (step t277.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule or :premises (t277.t1))
% 11.48/11.73  (step t277.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule resolution :premises (t277.t2 t277.a0))
% 11.48/11.73  (step t277 (cl (not (forall ((X $$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_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule subproof :discharge (t277.a0))
% 11.48/11.73  (step t278 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule resolution :premises (t276 t277))
% 11.48/11.73  (step t279 (cl (=> (forall ((X $$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_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))) :rule implies_neg2)
% 11.48/11.73  (step t280 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (=> (forall ((X $$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_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))) :rule resolution :premises (t278 t279))
% 11.48/11.73  (step t281 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))) :rule contraction :premises (t280))
% 11.48/11.73  (step t282 (cl (not (forall ((X $$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_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule implies :premises (t281))
% 11.48/11.73  (step t283 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule resolution :premises (t282 a2))
% 11.48/11.73  (step t284 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t285)
% 11.48/11.73  (assume t285.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.73  (step t285.t1 (cl (or (not (forall ((X $$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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.sk_c11) (:= Y tptp.sk_c11) (:= Z tptp.sk_c10)))
% 11.48/11.73  (step t285.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule or :premises (t285.t1))
% 11.48/11.73  (step t285.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t285.t2 t285.a0))
% 11.48/11.73  (step t285 (cl (not (forall ((X $$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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule subproof :discharge (t285.a0))
% 11.48/11.73  (step t286 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t284 t285))
% 11.48/11.73  (step t287 (cl (=> (forall ((X $$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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule implies_neg2)
% 11.48/11.73  (step t288 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule resolution :premises (t286 t287))
% 11.48/11.73  (step t289 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule contraction :premises (t288))
% 11.48/11.73  (step t290 (cl (not (forall ((X $$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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule implies :premises (t289))
% 11.48/11.73  (step t291 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t290 a2))
% 11.48/11.73  (step t292 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t293)
% 11.48/11.73  (assume t293.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.73  (step t293.t1 (cl (or (not (forall ((X $$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.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.sk_c11) (:= Y tptp.identity) (:= Z tptp.sk_c10)))
% 11.48/11.73  (step t293.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule or :premises (t293.t1))
% 11.48/11.73  (step t293.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t293.t2 t293.a0))
% 11.48/11.73  (step t293 (cl (not (forall ((X $$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.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule subproof :discharge (t293.a0))
% 11.48/11.73  (step t294 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t292 t293))
% 11.48/11.73  (step t295 (cl (=> (forall ((X $$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.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule implies_neg2)
% 11.48/11.73  (step t296 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (=> (forall ((X $$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.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule resolution :premises (t294 t295))
% 11.48/11.73  (step t297 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule contraction :premises (t296))
% 11.48/11.73  (step t298 (cl (not (forall ((X $$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.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies :premises (t297))
% 11.48/11.73  (step t299 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t298 a2))
% 11.48/11.73  (step t300 (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)
% 11.48/11.73  (anchor :step t301)
% 11.48/11.73  (assume t301.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.48/11.73  (step t301.t1 (cl (or (not (forall ((X $$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)))
% 11.48/11.73  (step t301.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t301.t1))
% 11.48/11.73  (step t301.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t301.t2 t301.a0))
% 11.48/11.73  (step t301 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t301.a0))
% 11.48/11.73  (step t302 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t300 t301))
% 11.48/11.73  (step t303 (cl (=> (forall ((X $$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)
% 11.48/11.73  (step t304 (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 (t302 t303))
% 11.48/11.73  (step t305 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t304))
% 11.48/11.73  (step t306 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t305))
% 11.48/11.73  (step t307 (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)
% 11.48/11.73  (anchor :step t308 :args ((X $$unsorted) (:= X X)))
% 11.48/11.73  (step t308.t1 (cl (= X X)) :rule refl)
% 11.48/11.73  (step t308.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 11.48/11.73  (step t308 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule bind)
% 11.48/11.73  (step t309 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t307 t308 a1))
% 11.48/11.73  (step t310 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t306 t309))
% 11.48/11.73  (step t311 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t312)
% 11.48/11.73  (assume t312.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.48/11.73  (step t312.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (step t312.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule or :premises (t312.t1))
% 11.48/11.73  (step t312.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t312.t2 t312.a0))
% 11.48/11.73  (step t312 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t312.a0))
% 11.48/11.73  (step t313 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t311 t312))
% 11.48/11.73  (step t314 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.48/11.73  (step t315 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t313 t314))
% 11.48/11.73  (step t316 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t315))
% 11.48/11.73  (step t317 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t316))
% 11.48/11.73  (step t318 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t317 t309))
% 11.48/11.73  (step t319 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t320)
% 11.48/11.73  (assume t320.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.48/11.73  (step t320.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (step t320.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule or :premises (t320.t1))
% 11.48/11.73  (step t320.t3 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t320.t2 t320.a0))
% 11.48/11.73  (step t320 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t320.a0))
% 11.48/11.73  (step t321 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t319 t320))
% 11.48/11.73  (step t322 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.48/11.73  (step t323 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t321 t322))
% 11.48/11.73  (step t324 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t323))
% 11.48/11.73  (step t325 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t324))
% 11.48/11.73  (step t326 (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)
% 11.48/11.73  (anchor :step t327 :args ((X $$unsorted) (:= X X)))
% 11.48/11.73  (step t327.t1 (cl (= X X)) :rule refl)
% 11.48/11.73  (step t327.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 11.48/11.73  (step t327 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 11.48/11.73  (step t328 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t326 t327 a0))
% 11.48/11.73  (step t329 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t325 t328))
% 11.48/11.73  (step t330 (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)
% 11.48/11.73  (anchor :step t331)
% 11.48/11.73  (assume t331.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.48/11.73  (step t331.t1 (cl (or (not (forall ((X $$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)))
% 11.48/11.73  (step t331.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule or :premises (t331.t1))
% 11.48/11.73  (step t331.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t331.t2 t331.a0))
% 11.48/11.73  (step t331 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule subproof :discharge (t331.a0))
% 11.48/11.73  (step t332 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t330 t331))
% 11.48/11.73  (step t333 (cl (=> (forall ((X $$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)
% 11.48/11.73  (step t334 (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 (t332 t333))
% 11.48/11.73  (step t335 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule contraction :premises (t334))
% 11.48/11.73  (step t336 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule implies :premises (t335))
% 11.48/11.73  (step t337 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t336 t309))
% 11.48/11.73  (step t338 (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)
% 11.48/11.73  (anchor :step t339)
% 11.48/11.73  (assume t339.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.48/11.73  (step t339.t1 (cl (or (not (forall ((X $$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)))
% 11.48/11.73  (step t339.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t339.t1))
% 11.48/11.73  (step t339.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t339.t2 t339.a0))
% 11.48/11.73  (step t339 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t339.a0))
% 11.48/11.73  (step t340 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t338 t339))
% 11.48/11.73  (step t341 (cl (=> (forall ((X $$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)
% 11.48/11.73  (step t342 (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 (t340 t341))
% 11.48/11.73  (step t343 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t342))
% 11.48/11.73  (step t344 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t343))
% 11.48/11.73  (step t345 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t344 t328))
% 11.48/11.73  (step t346 (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)
% 11.48/11.73  (anchor :step t347)
% 11.48/11.73  (assume t347.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.48/11.73  (step t347.t1 (cl (or (not (forall ((X $$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)))
% 11.48/11.73  (step t347.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule or :premises (t347.t1))
% 11.48/11.73  (step t347.t3 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t347.t2 t347.a0))
% 11.48/11.73  (step t347 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule subproof :discharge (t347.a0))
% 11.48/11.73  (step t348 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t346 t347))
% 11.48/11.73  (step t349 (cl (=> (forall ((X $$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)
% 11.48/11.73  (step t350 (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 (t348 t349))
% 11.48/11.73  (step t351 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule contraction :premises (t350))
% 11.48/11.73  (step t352 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule implies :premises (t351))
% 11.48/11.73  (step t353 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t352 t328))
% 11.48/11.73  (step t354 (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)
% 11.48/11.73  (anchor :step t355)
% 11.48/11.73  (assume t355.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.48/11.73  (step t355.t1 (cl (or (not (forall ((X $$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)))
% 11.48/11.73  (step t355.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule or :premises (t355.t1))
% 11.48/11.73  (step t355.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule resolution :premises (t355.t2 t355.a0))
% 11.48/11.73  (step t355 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule subproof :discharge (t355.a0))
% 11.48/11.73  (step t356 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule resolution :premises (t354 t355))
% 11.48/11.73  (step t357 (cl (=> (forall ((X $$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)
% 11.48/11.73  (step t358 (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 (t356 t357))
% 11.48/11.73  (step t359 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))) :rule contraction :premises (t358))
% 11.48/11.73  (step t360 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule implies :premises (t359))
% 11.48/11.73  (step t361 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule resolution :premises (t360 t309))
% 11.48/11.73  (step t362 (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)
% 11.48/11.73  (anchor :step t363)
% 11.48/11.73  (assume t363.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.48/11.73  (step t363.t1 (cl (or (not (forall ((X $$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)))
% 11.48/11.73  (step t363.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule or :premises (t363.t1))
% 11.48/11.73  (step t363.t3 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t363.t2 t363.a0))
% 11.48/11.73  (step t363 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule subproof :discharge (t363.a0))
% 11.48/11.73  (step t364 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t362 t363))
% 11.48/11.73  (step t365 (cl (=> (forall ((X $$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)
% 11.48/11.73  (step t366 (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 (t364 t365))
% 11.48/11.73  (step t367 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule contraction :premises (t366))
% 11.48/11.73  (step t368 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule implies :premises (t367))
% 11.48/11.73  (step t369 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t368 t328))
% 11.48/11.73  (step t370 (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)
% 11.48/11.73  (anchor :step t371)
% 11.48/11.73  (assume t371.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.48/11.73  (step t371.t1 (cl (or (not (forall ((X $$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)))
% 11.48/11.73  (step t371.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule or :premises (t371.t1))
% 11.48/11.73  (step t371.t3 (cl (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule resolution :premises (t371.t2 t371.a0))
% 11.48/11.73  (step t371 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule subproof :discharge (t371.a0))
% 11.48/11.73  (step t372 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule resolution :premises (t370 t371))
% 11.48/11.73  (step t373 (cl (=> (forall ((X $$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)
% 11.48/11.73  (step t374 (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 (t372 t373))
% 11.48/11.73  (step t375 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule contraction :premises (t374))
% 11.48/11.73  (step t376 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule implies :premises (t375))
% 11.48/11.73  (step t377 (cl (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule resolution :premises (t376 t328))
% 11.48/11.73  (step t378 (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)
% 11.48/11.73  (anchor :step t379)
% 11.48/11.73  (assume t379.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.48/11.73  (step t379.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 11.48/11.73  (step t379.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t379.t1))
% 11.48/11.73  (step t379.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t379.t2 t379.a0))
% 11.48/11.73  (step t379 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t379.a0))
% 11.48/11.73  (step t380 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t378 t379))
% 11.48/11.73  (step t381 (cl (=> (forall ((X $$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)
% 11.48/11.73  (step t382 (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 (t380 t381))
% 11.48/11.73  (step t383 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t382))
% 11.48/11.73  (step t384 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t383))
% 11.48/11.73  (step t385 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t384 t328))
% 11.48/11.73  (step t386 (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)
% 11.48/11.73  (step t387 (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 (t386))
% 11.48/11.73  (step t388 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (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.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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply 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)))) (not (= tptp.sk_c10 (tptp.inverse 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_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t176 t183 t190 t197 t199 t201 t208 t243 t251 t259 t267 t275 t283 t291 t299 t310 t318 t329 t337 t345 t353 t361 t369 t377 t385 t387))
% 11.48/11.73  (step t389 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply 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)))) (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)))) :rule contraction :premises (t388))
% 11.48/11.73  (step t390 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (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))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.48/11.73  (step t391 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= 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.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t392)
% 11.48/11.73  (assume t392.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.73  (assume t392.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.73  (assume t392.a2 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.73  (assume t392.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.73  (assume t392.a4 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t392.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (step t392.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t392.t2)
% 11.48/11.73  (assume t392.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.73  (assume t392.t2.a1 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.73  (assume t392.t2.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.73  (assume t392.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t392.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.73  (assume t392.t2.a5 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (step t392.t2.t1 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t392.t2.a5))
% 11.48/11.73  (step t392.t2.t2 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t392.t2.t1))
% 11.48/11.73  (step t392.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t392.t2.a4))
% 11.48/11.73  (step t392.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t392.t2.t3))
% 11.48/11.73  (step t392.t2.t5 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.48/11.73  (step t392.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t392.t2.t4 t392.t2.t5))
% 11.48/11.73  (step t392.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t392.t2.a3))
% 11.48/11.73  (step t392.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule symm :premises (t392.t2.t7))
% 11.48/11.73  (step t392.t2.t9 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t392.t2.a1 t392.t2.t5))
% 11.48/11.73  (step t392.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t392.t2.a1))
% 11.48/11.73  (step t392.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t392.t2.a2))
% 11.48/11.73  (step t392.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t392.t2.t10 t392.t2.t11))
% 11.48/11.73  (step t392.t2.t13 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t392.t2.a0))
% 11.48/11.73  (step t392.t2.t14 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c10)) :rule trans :premises (t392.t2.t9 t392.t2.t12 t392.t2.t13))
% 11.48/11.73  (step t392.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t392.t2.t5 t392.t2.t14))
% 11.48/11.73  (step t392.t2.t16 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule trans :premises (t392.t2.a2 t392.t2.t2 t392.t2.t6 t392.t2.t8 t392.t2.t15))
% 11.48/11.73  (step t392.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule subproof :discharge (t392.t2.a0 t392.t2.a1 t392.t2.a2 t392.t2.a3 t392.t2.a4 t392.t2.a5))
% 11.48/11.73  (step t392.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t392.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t392.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t392.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t392.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t392.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t392.t9 (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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t392.t2 t392.t3 t392.t4 t392.t5 t392.t6 t392.t7 t392.t8))
% 11.48/11.73  (step t392.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule reordering :premises (t392.t9))
% 11.48/11.73  (step t392.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule contraction :premises (t392.t10))
% 11.48/11.73  (step t392.t12 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= 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 (t392.t1 t392.t11))
% 11.48/11.73  (step t392.t13 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= 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)
% 11.48/11.73  (step t392.t14 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule resolution :premises (t392.t12 t392.t13))
% 11.48/11.73  (step t392.t15 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule contraction :premises (t392.t14))
% 11.48/11.73  (step t392.t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule implies :premises (t392.t15))
% 11.48/11.73  (step t392.t17 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_neg)
% 11.48/11.73  (step t392.t18 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t392.t17 t392.a0 t392.a2 t392.a1 t392.a5 t392.a3 t392.a4))
% 11.48/11.73  (step t392.t19 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule resolution :premises (t392.t16 t392.t18))
% 11.48/11.73  (step t392 (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_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule subproof :discharge (t392.a0 t392.a1 t392.a2 t392.a3 t392.a4 t392.a5))
% 11.48/11.73  (step t393 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t394 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t395 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t396 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t397 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t398 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t399 (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.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (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_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (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_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (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_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (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_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (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_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t392 t393 t394 t395 t396 t397 t398))
% 11.48/11.73  (step t400 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (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_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (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_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (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_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (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_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (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_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule reordering :premises (t399))
% 11.48/11.73  (step t401 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule contraction :premises (t400))
% 11.48/11.73  (step t402 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= 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 (t391 t401))
% 11.48/11.73  (step t403 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= 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)
% 11.48/11.73  (step t404 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= 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.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule resolution :premises (t402 t403))
% 11.48/11.73  (step t405 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule contraction :premises (t404))
% 11.48/11.73  (step t406 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule implies :premises (t405))
% 11.48/11.73  (step t407 (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_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule resolution :premises (t390 t406))
% 11.48/11.73  (step t408 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.48/11.73  (step t409 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t410)
% 11.48/11.73  (assume t410.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.73  (assume t410.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.73  (assume t410.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.73  (assume t410.a3 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.73  (assume t410.a4 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.48/11.73  (assume t410.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.73  (assume t410.a6 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.73  (assume t410.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.73  (assume t410.a8 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t410.a9 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t410.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.48/11.73  (assume t410.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))
% 11.48/11.73  (assume t410.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.48/11.73  (assume t410.a13 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t410.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.73  (assume t410.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (step t410.t1 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (= 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.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t410.t2)
% 11.48/11.73  (assume t410.t2.a0 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.73  (assume t410.t2.a1 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t410.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.73  (assume t410.t2.a3 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.73  (assume t410.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t410.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.73  (assume t410.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.73  (assume t410.t2.a7 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.73  (assume t410.t2.a8 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.73  (assume t410.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))
% 11.48/11.73  (assume t410.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t410.t2.a11 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t410.t2.a12 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.73  (assume t410.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.48/11.73  (assume t410.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.48/11.73  (assume t410.t2.a15 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.48/11.73  (step t410.t2.t1 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t410.t2.a3))
% 11.48/11.73  (step t410.t2.t2 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t410.t2.t1))
% 11.48/11.73  (step t410.t2.t3 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t410.t2.a11))
% 11.48/11.73  (step t410.t2.t4 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t410.t2.t3))
% 11.48/11.73  (step t410.t2.t5 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.48/11.73  (step t410.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t410.t2.a2 t410.t2.t5))
% 11.48/11.73  (step t410.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t410.t2.a10))
% 11.48/11.73  (step t410.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule symm :premises (t410.t2.t7))
% 11.48/11.73  (step t410.t2.t9 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t410.t2.a8))
% 11.48/11.73  (step t410.t2.t10 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t410.t2.t9))
% 11.48/11.73  (step t410.t2.t11 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t410.t2.a0 t410.t2.t2))
% 11.48/11.73  (step t410.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t410.t2.a0))
% 11.48/11.73  (step t410.t2.t13 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t410.t2.t12 t410.t2.t5))
% 11.48/11.73  (step t410.t2.t14 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t410.t2.t10 t410.t2.t11 t410.t2.t13))
% 11.48/11.73  (step t410.t2.t15 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c10)) :rule symm :premises (t410.t2.t14))
% 11.48/11.73  (step t410.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t410.t2.t5 t410.t2.t15))
% 11.48/11.73  (step t410.t2.t17 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.48/11.73  (step t410.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t410.t2.t1 t410.t2.t17))
% 11.48/11.73  (step t410.t2.t19 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.48/11.73  (step t410.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t410.t2.a15))
% 11.48/11.73  (step t410.t2.t21 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t410.t2.t20))
% 11.48/11.73  (step t410.t2.t22 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t410.t2.t19 t410.t2.t21))
% 11.48/11.73  (step t410.t2.t23 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t410.t2.a14))
% 11.48/11.73  (step t410.t2.t24 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t410.t2.a12 t410.t2.t19))
% 11.48/11.73  (step t410.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t410.t2.a12))
% 11.48/11.73  (step t410.t2.t26 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t410.t2.t2 t410.t2.t4 t410.t2.t6 t410.t2.t8 t410.t2.t16 t410.t2.t18))
% 11.48/11.73  (step t410.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t410.t2.t25 t410.t2.t26))
% 11.48/11.73  (step t410.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule cong :premises (t410.t2.t27 t410.t2.t19))
% 11.48/11.73  (step t410.t2.t29 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t410.t2.a13))
% 11.48/11.73  (step t410.t2.t30 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t410.t2.t29))
% 11.48/11.73  (step t410.t2.t31 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t410.t2.a7))
% 11.48/11.73  (step t410.t2.t32 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t410.t2.t31))
% 11.48/11.73  (step t410.t2.t33 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t410.t2.t32 t410.t2.t19))
% 11.48/11.73  (step t410.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule symm :premises (t410.t2.t33))
% 11.48/11.73  (step t410.t2.t35 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t410.t2.a6 t410.t2.t34))
% 11.48/11.73  (step t410.t2.t36 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule symm :premises (t410.t2.t35))
% 11.48/11.73  (step t410.t2.t37 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t410.t2.a12 t410.t2.t36))
% 11.48/11.73  (step t410.t2.t38 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.48/11.73  (step t410.t2.t39 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t410.t2.a12 t410.t2.t38))
% 11.48/11.73  (step t410.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule symm :premises (t410.t2.t39))
% 11.48/11.73  (step t410.t2.t41 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t410.t2.t24 t410.t2.t28 t410.t2.t30 t410.t2.t37 t410.t2.t40))
% 11.48/11.73  (step t410.t2.t42 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule symm :premises (t410.t2.t41))
% 11.48/11.73  (step t410.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t410.t2.t42 t410.t2.t17))
% 11.48/11.73  (step t410.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t410.t2.t37))
% 11.48/11.73  (step t410.t2.t45 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule trans :premises (t410.t2.t39 t410.t2.t44 t410.t2.t29))
% 11.48/11.73  (step t410.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity))) :rule cong :premises (t410.t2.t27 t410.t2.t38))
% 11.48/11.73  (step t410.t2.t47 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity))) :rule symm :premises (t410.t2.a9))
% 11.48/11.73  (step t410.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule symm :premises (t410.t2.t47))
% 11.48/11.73  (step t410.t2.t49 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t410.t2.t13))
% 11.48/11.73  (step t410.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t410.t2.t11))
% 11.48/11.73  (step t410.t2.t51 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t410.t2.t2))
% 11.48/11.73  (step t410.t2.t52 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t410.t2.t49 t410.t2.t50 t410.t2.t9 t410.t2.t32 t410.t2.t51))
% 11.48/11.73  (step t410.t2.t53 (cl (= tptp.sk_c10 (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t410.t2.t14 t410.t2.t52))
% 11.48/11.73  (step t410.t2.t54 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule cong :premises (t410.t2.t53 t410.t2.t35))
% 11.48/11.73  (step t410.t2.t55 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.48/11.73  (step t410.t2.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t410.t2.a6))
% 11.48/11.73  (step t410.t2.t57 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule trans :premises (t410.t2.t33 t410.t2.t56 t410.t2.a2))
% 11.48/11.73  (step t410.t2.t58 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t410.t2.t55 t410.t2.t57))
% 11.48/11.73  (step t410.t2.t59 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t410.t2.a5))
% 11.48/11.73  (step t410.t2.t60 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t410.t2.a4))
% 11.48/11.73  (step t410.t2.t61 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.48/11.73  (step t410.t2.t62 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t410.t2.t60 t410.t2.t61))
% 11.48/11.73  (step t410.t2.t63 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) tptp.sk_c3)) :rule trans :premises (t410.t2.t54 t410.t2.t58 t410.t2.t59 t410.t2.t62 t410.t2.t12))
% 11.48/11.73  (step t410.t2.t64 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule cong :premises (t410.t2.t2 t410.t2.t63))
% 11.48/11.73  (step t410.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t410.t2.a2))
% 11.48/11.73  (step t410.t2.t66 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t410.t2.t30 t410.t2.t37 t410.t2.t46 t410.t2.t48 t410.t2.t64 t410.t2.t65))
% 11.48/11.73  (step t410.t2.t67 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.identity)) :rule trans :premises (t410.t2.t41 t410.t2.t45 t410.t2.t66))
% 11.48/11.73  (step t410.t2.t68 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t410.t2.t67 t410.t2.t14))
% 11.48/11.73  (step t410.t2.t69 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t410.t2.a1))
% 11.48/11.73  (step t410.t2.t70 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t410.t2.t2 t410.t2.t4 t410.t2.t6 t410.t2.t8 t410.t2.t16 t410.t2.t18 t410.t2.t22 t410.t2.t23 t410.t2.t43 t410.t2.t68 t410.t2.t69 t410.t2.t13))
% 11.48/11.73  (step t410.t2 (cl (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t410.t2.a0 t410.t2.a1 t410.t2.a2 t410.t2.a3 t410.t2.a4 t410.t2.a5 t410.t2.a6 t410.t2.a7 t410.t2.a8 t410.t2.a9 t410.t2.a10 t410.t2.a11 t410.t2.a12 t410.t2.a13 t410.t2.a14 t410.t2.a15))
% 11.48/11.73  (step t410.t3 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t410.t4 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t410.t5 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t410.t6 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t410.t7 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t410.t8 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t410.t9 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t410.t10 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t410.t11 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t410.t12 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule and_pos)
% 11.48/11.73  (step t410.t13 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t410.t14 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t410.t15 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t410.t16 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t410.t17 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.48/11.73  (step t410.t18 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.48/11.73  (step t410.t19 (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.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule resolution :premises (t410.t2 t410.t3 t410.t4 t410.t5 t410.t6 t410.t7 t410.t8 t410.t9 t410.t10 t410.t11 t410.t12 t410.t13 t410.t14 t410.t15 t410.t16 t410.t17 t410.t18))
% 11.48/11.73  (step t410.t20 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t410.t19))
% 11.48/11.73  (step t410.t21 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t410.t20))
% 11.48/11.73  (step t410.t22 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity 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 (t410.t1 t410.t21))
% 11.48/11.73  (step t410.t23 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity 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)
% 11.48/11.73  (step t410.t24 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (= 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.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t410.t22 t410.t23))
% 11.48/11.73  (step t410.t25 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t410.t24))
% 11.48/11.73  (step t410.t26 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t410.t25))
% 11.48/11.73  (step t410.t27 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_neg)
% 11.48/11.73  (step t410.t28 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t410.t27 t410.a6 t410.a13 t410.a7 t410.a2 t410.a9 t410.a14 t410.a5 t410.a0 t410.a1 t410.a11 t410.a15 t410.a8 t410.a3 t410.a12 t410.a10 t410.a4))
% 11.48/11.73  (step t410.t29 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t410.t26 t410.t28))
% 11.48/11.73  (step t410 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t410.a0 t410.a1 t410.a2 t410.a3 t410.a4 t410.a5 t410.a6 t410.a7 t410.a8 t410.a9 t410.a10 t410.a11 t410.a12 t410.a13 t410.a14 t410.a15))
% 11.48/11.73  (step t411 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t412 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t413 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t414 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t415 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.48/11.73  (step t416 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t417 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t418 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t419 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t420 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t421 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.48/11.73  (step t422 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule and_pos)
% 11.48/11.73  (step t423 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t424 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t425 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t426 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t427 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t410 t411 t412 t413 t414 t415 t416 t417 t418 t419 t420 t421 t422 t423 t424 t425 t426))
% 11.48/11.73  (step t428 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t427))
% 11.48/11.73  (step t429 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t428))
% 11.48/11.73  (step t430 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= 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 (t409 t429))
% 11.48/11.73  (step t431 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= 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)
% 11.48/11.73  (step t432 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (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 (t430 t431))
% 11.48/11.73  (step t433 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t432))
% 11.48/11.73  (step t434 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t433))
% 11.48/11.73  (step t435 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (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 (t408 t434))
% 11.48/11.73  (step t436 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.48/11.73  (step t437 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t438)
% 11.48/11.73  (assume t438.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.73  (assume t438.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.73  (assume t438.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.73  (assume t438.a3 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.73  (assume t438.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.73  (assume t438.a5 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.73  (assume t438.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.73  (assume t438.a7 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t438.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t438.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.48/11.73  (assume t438.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))
% 11.48/11.73  (assume t438.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.48/11.73  (assume t438.a12 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t438.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.73  (assume t438.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (step t438.t1 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t438.t2)
% 11.48/11.73  (assume t438.t2.a0 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.73  (assume t438.t2.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.73  (assume t438.t2.a2 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t438.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.73  (assume t438.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t438.t2.a5 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.73  (assume t438.t2.a6 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.73  (assume t438.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.48/11.73  (assume t438.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.48/11.73  (assume t438.t2.a9 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.73  (assume t438.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.73  (assume t438.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))
% 11.48/11.73  (assume t438.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.73  (assume t438.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t438.t2.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (step t438.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t438.t2.a9))
% 11.48/11.73  (step t438.t2.t2 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t438.t2.t1))
% 11.48/11.73  (step t438.t2.t3 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t438.t2.t2))
% 11.48/11.73  (step t438.t2.t4 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t438.t2.a6))
% 11.48/11.73  (step t438.t2.t5 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t438.t2.t4))
% 11.48/11.73  (step t438.t2.t6 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t438.t2.a1))
% 11.48/11.73  (step t438.t2.t7 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t438.t2.t6))
% 11.48/11.73  (step t438.t2.t8 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t438.t2.a5 t438.t2.t7))
% 11.48/11.73  (step t438.t2.t9 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t438.t2.a14))
% 11.48/11.73  (step t438.t2.t10 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule symm :premises (t438.t2.t9))
% 11.48/11.73  (step t438.t2.t11 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t438.t2.a13))
% 11.48/11.73  (step t438.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t438.t2.t11))
% 11.48/11.73  (step t438.t2.t13 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.48/11.73  (step t438.t2.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule cong :premises (t438.t2.t12 t438.t2.t13))
% 11.48/11.73  (step t438.t2.t15 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t438.t2.a12))
% 11.48/11.73  (step t438.t2.t16 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule symm :premises (t438.t2.t15))
% 11.48/11.73  (step t438.t2.t17 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.48/11.73  (step t438.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t438.t2.a3))
% 11.48/11.73  (step t438.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t438.t2.a10))
% 11.48/11.73  (step t438.t2.t20 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t438.t2.t19))
% 11.48/11.73  (step t438.t2.t21 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.48/11.73  (step t438.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule cong :premises (t438.t2.t3 t438.t2.t21))
% 11.48/11.73  (step t438.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t438.t2.t18 t438.t2.t20 t438.t2.t22))
% 11.48/11.73  (step t438.t2.t24 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule cong :premises (t438.t2.t17 t438.t2.t23))
% 11.48/11.73  (step t438.t2.t25 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c11))) :rule cong :premises (t438.t2.t6))
% 11.48/11.73  (step t438.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t438.t2.a5))
% 11.48/11.73  (step t438.t2.t27 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.48/11.73  (step t438.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t438.t2.t26 t438.t2.t27))
% 11.48/11.73  (step t438.t2.t29 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t438.t2.t25 t438.t2.t3 t438.t2.t5 t438.t2.t8 t438.t2.t28))
% 11.48/11.73  (step t438.t2.t30 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t438.t2.t5 t438.t2.t8 t438.t2.t28))
% 11.48/11.73  (step t438.t2.t31 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c10)) :rule symm :premises (t438.t2.t30))
% 11.48/11.73  (step t438.t2.t32 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10)) :rule trans :premises (t438.t2.t29 t438.t2.t31))
% 11.48/11.73  (step t438.t2.t33 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t438.t2.t20 t438.t2.t22))
% 11.48/11.73  (step t438.t2.t34 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule symm :premises (t438.t2.t33))
% 11.48/11.73  (step t438.t2.t35 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t438.t2.t32 t438.t2.t34))
% 11.48/11.73  (step t438.t2.t36 (cl (= tptp.sk_c3 (tptp.multiply tptp.sk_c10 tptp.identity))) :rule trans :premises (t438.t2.a5 t438.t2.t14 t438.t2.t16 t438.t2.t24 t438.t2.t35))
% 11.48/11.73  (step t438.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule cong :premises (t438.t2.t6 t438.t2.t36))
% 11.48/11.73  (step t438.t2.t38 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity))) :rule symm :premises (t438.t2.a11))
% 11.48/11.73  (step t438.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule symm :premises (t438.t2.t38))
% 11.48/11.73  (step t438.t2.t40 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity))) :rule symm :premises (t438.t2.t39))
% 11.48/11.73  (step t438.t2.t41 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.48/11.73  (step t438.t2.t42 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t438.t2.t7 t438.t2.t41))
% 11.48/11.73  (step t438.t2.t43 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t438.t2.t27 t438.t2.t30))
% 11.48/11.73  (step t438.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t438.t2.a4))
% 11.48/11.73  (step t438.t2.t45 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule symm :premises (t438.t2.t44))
% 11.48/11.73  (step t438.t2.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t438.t2.t45))
% 11.48/11.73  (step t438.t2.t47 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t438.t2.t18 t438.t2.t27))
% 11.48/11.73  (step t438.t2.t48 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t438.t2.a2))
% 11.48/11.73  (step t438.t2.t49 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t438.t2.t48))
% 11.48/11.73  (step t438.t2.t50 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t438.t2.t49))
% 11.48/11.73  (step t438.t2.t51 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11)) :rule trans :premises (t438.t2.t42 t438.t2.t43 t438.t2.t46 t438.t2.t47 t438.t2.t50 t438.t2.t6))
% 11.48/11.73  (step t438.t2.t52 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c11))) :rule trans :premises (t438.t2.t51 t438.t2.a0))
% 11.48/11.73  (step t438.t2.t53 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.48/11.73  (step t438.t2.t54 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t438.t2.t52 t438.t2.t53))
% 11.48/11.73  (step t438.t2.t55 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t438.t2.a0))
% 11.48/11.73  (step t438.t2.t56 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule cong :premises (t438.t2.t55 t438.t2.t33))
% 11.48/11.73  (step t438.t2.t57 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t438.t2.a8))
% 11.48/11.73  (step t438.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t438.t2.t57))
% 11.48/11.73  (step t438.t2.t59 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t438.t2.t58))
% 11.48/11.73  (step t438.t2.t60 (cl (= tptp.identity (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule trans :premises (t438.t2.a3 t438.t2.t37 t438.t2.t40 t438.t2.t54 t438.t2.t56 t438.t2.t59))
% 11.48/11.73  (step t438.t2.t61 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule symm :premises (t438.t2.t56))
% 11.48/11.73  (step t438.t2.t62 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t438.t2.a0 t438.t2.t53))
% 11.48/11.73  (step t438.t2.t63 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule symm :premises (t438.t2.t62))
% 11.48/11.73  (step t438.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t438.t2.t58 t438.t2.t61 t438.t2.t63))
% 11.48/11.73  (step t438.t2.t65 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t438.t2.t52 t438.t2.t21))
% 11.48/11.73  (step t438.t2.t66 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t438.t2.t55 t438.t2.t21))
% 11.48/11.73  (step t438.t2.t67 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule trans :premises (t438.t2.t62 t438.t2.t56 t438.t2.t59 t438.t2.t65 t438.t2.t66))
% 11.48/11.73  (step t438.t2.t68 (cl (= tptp.identity (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule trans :premises (t438.t2.t60 t438.t2.t64 t438.t2.t67))
% 11.48/11.73  (step t438.t2.t69 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t438.t2.t68 t438.t2.t31))
% 11.48/11.73  (step t438.t2.t70 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t438.t2.a7))
% 11.48/11.73  (step t438.t2.t71 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t438.t2.t70))
% 11.48/11.73  (step t438.t2.t72 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t438.t2.a0 t438.t2.t51))
% 11.48/11.73  (step t438.t2.t73 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t438.t2.t55 t438.t2.t7))
% 11.48/11.73  (step t438.t2.t74 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t438.t2.t3 t438.t2.t5 t438.t2.t8 t438.t2.t10 t438.t2.t69 t438.t2.t71 t438.t2.t72 t438.t2.t73))
% 11.48/11.73  (step t438.t2 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t438.t2.a0 t438.t2.a1 t438.t2.a2 t438.t2.a3 t438.t2.a4 t438.t2.a5 t438.t2.a6 t438.t2.a7 t438.t2.a8 t438.t2.a9 t438.t2.a10 t438.t2.a11 t438.t2.a12 t438.t2.a13 t438.t2.a14))
% 11.48/11.73  (step t438.t3 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t438.t4 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t438.t5 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t438.t6 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t438.t7 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t438.t8 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t438.t9 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t438.t10 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.73  (step t438.t11 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t438.t12 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t438.t13 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t438.t14 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule and_pos)
% 11.48/11.73  (step t438.t15 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t438.t16 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t438.t17 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t438.t18 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t438.t2 t438.t3 t438.t4 t438.t5 t438.t6 t438.t7 t438.t8 t438.t9 t438.t10 t438.t11 t438.t12 t438.t13 t438.t14 t438.t15 t438.t16 t438.t17))
% 11.48/11.73  (step t438.t19 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t438.t18))
% 11.48/11.73  (step t438.t20 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t438.t19))
% 11.48/11.73  (step t438.t21 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t438.t1 t438.t20))
% 11.48/11.73  (step t438.t22 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.48/11.73  (step t438.t23 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t438.t21 t438.t22))
% 11.48/11.73  (step t438.t24 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t438.t23))
% 11.48/11.73  (step t438.t25 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t438.t24))
% 11.48/11.73  (step t438.t26 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.48/11.73  (step t438.t27 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t438.t26 t438.a3 t438.a2 t438.a7 t438.a6 t438.a14 t438.a5 t438.a1 t438.a9 t438.a11 t438.a0 t438.a4 t438.a10 t438.a13 t438.a8 t438.a12))
% 11.48/11.73  (step t438.t28 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t438.t25 t438.t27))
% 11.48/11.73  (step t438 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t438.a0 t438.a1 t438.a2 t438.a3 t438.a4 t438.a5 t438.a6 t438.a7 t438.a8 t438.a9 t438.a10 t438.a11 t438.a12 t438.a13 t438.a14))
% 11.48/11.73  (step t439 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t440 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t441 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t442 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t443 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t444 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t445 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t446 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t447 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t448 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.73  (step t449 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule and_pos)
% 11.48/11.73  (step t450 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t451 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t452 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t453 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t454 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t438 t439 t440 t441 t442 t443 t444 t445 t446 t447 t448 t449 t450 t451 t452 t453))
% 11.48/11.73  (step t455 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t454))
% 11.48/11.73  (step t456 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t455))
% 11.48/11.73  (step t457 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t437 t456))
% 11.48/11.73  (step t458 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.48/11.73  (step t459 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t457 t458))
% 11.48/11.73  (step t460 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t459))
% 11.48/11.73  (step t461 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t460))
% 11.48/11.73  (step t462 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t436 t461))
% 11.48/11.73  (step t463 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.48/11.73  (step t464 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t465)
% 11.48/11.73  (assume t465.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.73  (assume t465.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.73  (assume t465.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.73  (assume t465.a3 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.73  (assume t465.a4 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.48/11.73  (assume t465.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.73  (assume t465.a6 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.73  (assume t465.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.73  (assume t465.a8 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t465.a9 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t465.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.48/11.73  (assume t465.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.48/11.73  (assume t465.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))
% 11.48/11.73  (assume t465.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.48/11.73  (assume t465.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.48/11.73  (assume t465.a15 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t465.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.73  (assume t465.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (step t465.t1 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t465.t2)
% 11.48/11.73  (assume t465.t2.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.73  (assume t465.t2.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.48/11.73  (assume t465.t2.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.73  (assume t465.t2.a3 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.73  (assume t465.t2.a4 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t465.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.73  (assume t465.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t465.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.73  (assume t465.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.73  (assume t465.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))))
% 11.48/11.73  (assume t465.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t465.t2.a11 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t465.t2.a12 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.73  (assume t465.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.48/11.73  (assume t465.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.48/11.73  (assume t465.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.48/11.73  (assume t465.t2.a16 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.48/11.73  (assume t465.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.48/11.73  (step t465.t2.t1 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t465.t2.a6))
% 11.48/11.73  (step t465.t2.t2 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.48/11.73  (step t465.t2.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t465.t2.t1 t465.t2.t2))
% 11.48/11.73  (step t465.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t465.t2.t3))
% 11.48/11.73  (step t465.t2.t5 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.48/11.73  (step t465.t2.t6 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t465.t2.a0))
% 11.48/11.73  (step t465.t2.t7 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t465.t2.t6))
% 11.48/11.73  (step t465.t2.t8 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.48/11.73  (step t465.t2.t9 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t465.t2.t7 t465.t2.t8))
% 11.48/11.73  (step t465.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t465.t2.a8))
% 11.48/11.73  (step t465.t2.t11 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule trans :premises (t465.t2.t9 t465.t2.t10 t465.t2.a5))
% 11.48/11.73  (step t465.t2.t12 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t465.t2.t5 t465.t2.t11))
% 11.48/11.73  (step t465.t2.t13 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t465.t2.t12))
% 11.48/11.73  (step t465.t2.t14 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t465.t2.a1))
% 11.48/11.73  (step t465.t2.t15 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c11))) :rule cong :premises (t465.t2.t14))
% 11.48/11.73  (step t465.t2.t16 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10)) :rule trans :premises (t465.t2.t15 t465.t2.t6))
% 11.48/11.73  (step t465.t2.t17 (cl (= tptp.sk_c10 (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t465.t2.t16))
% 11.48/11.73  (step t465.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule symm :premises (t465.t2.t9))
% 11.48/11.73  (step t465.t2.t19 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t465.t2.a8 t465.t2.t18))
% 11.48/11.73  (step t465.t2.t20 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule cong :premises (t465.t2.t17 t465.t2.t19))
% 11.48/11.73  (step t465.t2.t21 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule symm :premises (t465.t2.t20))
% 11.48/11.73  (step t465.t2.t22 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.48/11.73  (step t465.t2.t23 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t465.t2.a12 t465.t2.t8))
% 11.48/11.73  (step t465.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t465.t2.a12))
% 11.48/11.73  (step t465.t2.t25 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t465.t2.a11))
% 11.48/11.73  (step t465.t2.t26 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t465.t2.t25))
% 11.48/11.73  (step t465.t2.t27 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.48/11.73  (step t465.t2.t28 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t465.t2.a5 t465.t2.t27))
% 11.48/11.73  (step t465.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t465.t2.a10))
% 11.48/11.73  (step t465.t2.t30 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule symm :premises (t465.t2.t29))
% 11.48/11.73  (step t465.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t465.t2.a3))
% 11.48/11.73  (step t465.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t465.t2.t31 t465.t2.t14))
% 11.48/11.73  (step t465.t2.t33 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t465.t2.t32))
% 11.48/11.73  (step t465.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t465.t2.t31 t465.t2.t27))
% 11.48/11.73  (step t465.t2.t35 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t465.t2.a2 t465.t2.t33 t465.t2.t34))
% 11.48/11.73  (step t465.t2.t36 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c10)) :rule symm :premises (t465.t2.t35))
% 11.48/11.73  (step t465.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t465.t2.t27 t465.t2.t36))
% 11.48/11.73  (step t465.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t465.t2.t14 t465.t2.t22))
% 11.48/11.73  (step t465.t2.t39 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t465.t2.a1 t465.t2.t26 t465.t2.t28 t465.t2.t30 t465.t2.t37 t465.t2.t38))
% 11.48/11.73  (step t465.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t465.t2.t24 t465.t2.t39))
% 11.48/11.73  (step t465.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule cong :premises (t465.t2.t40 t465.t2.t8))
% 11.48/11.73  (step t465.t2.t42 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t465.t2.a13))
% 11.48/11.73  (step t465.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t465.t2.t42))
% 11.48/11.73  (step t465.t2.t44 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule symm :premises (t465.t2.t19))
% 11.48/11.73  (step t465.t2.t45 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t465.t2.a12 t465.t2.t44))
% 11.48/11.73  (step t465.t2.t46 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.48/11.73  (step t465.t2.t47 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t465.t2.a12 t465.t2.t46))
% 11.48/11.73  (step t465.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule symm :premises (t465.t2.t47))
% 11.48/11.73  (step t465.t2.t49 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t465.t2.t23 t465.t2.t41 t465.t2.t43 t465.t2.t45 t465.t2.t48))
% 11.48/11.73  (step t465.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t465.t2.t45))
% 11.48/11.73  (step t465.t2.t51 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule trans :premises (t465.t2.t47 t465.t2.t50 t465.t2.t42))
% 11.48/11.73  (step t465.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity))) :rule cong :premises (t465.t2.t40 t465.t2.t46))
% 11.48/11.73  (step t465.t2.t53 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity))) :rule symm :premises (t465.t2.a9))
% 11.48/11.73  (step t465.t2.t54 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule symm :premises (t465.t2.t53))
% 11.48/11.73  (step t465.t2.t55 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t465.t2.a7))
% 11.48/11.73  (step t465.t2.t56 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) tptp.sk_c3)) :rule trans :premises (t465.t2.t20 t465.t2.t12 t465.t2.t55 t465.t2.t3 t465.t2.t31))
% 11.48/11.73  (step t465.t2.t57 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule cong :premises (t465.t2.a1 t465.t2.t56))
% 11.48/11.73  (step t465.t2.t58 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t465.t2.a5))
% 11.48/11.73  (step t465.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t465.t2.t43 t465.t2.t45 t465.t2.t52 t465.t2.t54 t465.t2.t57 t465.t2.t58))
% 11.48/11.73  (step t465.t2.t60 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.identity)) :rule trans :premises (t465.t2.t49 t465.t2.t51 t465.t2.t59))
% 11.48/11.73  (step t465.t2.t61 (cl (= tptp.identity (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule symm :premises (t465.t2.t60))
% 11.48/11.73  (step t465.t2.t62 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t465.t2.t22 t465.t2.t61))
% 11.48/11.73  (step t465.t2.t63 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t465.t2.a17))
% 11.48/11.73  (step t465.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t465.t2.t44 t465.t2.t8))
% 11.48/11.73  (step t465.t2.t65 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t465.t2.a16))
% 11.48/11.73  (step t465.t2.t66 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t465.t2.t65))
% 11.48/11.73  (step t465.t2.t67 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t465.t2.t8 t465.t2.t66))
% 11.48/11.73  (step t465.t2.t68 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t465.t2.a15))
% 11.48/11.73  (step t465.t2.t69 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule symm :premises (t465.t2.t49))
% 11.48/11.73  (step t465.t2.t70 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t465.t2.t69 t465.t2.t22))
% 11.48/11.73  (step t465.t2.t71 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t465.t2.t24 t465.t2.t39))
% 11.48/11.73  (step t465.t2.t72 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t465.t2.t71))
% 11.48/11.73  (step t465.t2.t73 (cl (= tptp.sk_c3 tptp.identity)) :rule trans :premises (t465.t2.a3 t465.t2.t4 t465.t2.a7 t465.t2.t13 t465.t2.t21 t465.t2.t62 t465.t2.t63 t465.t2.t64 t465.t2.t24 t465.t2.a1 t465.t2.t26 t465.t2.t28 t465.t2.t30 t465.t2.t37 t465.t2.t38 t465.t2.t67 t465.t2.t68 t465.t2.t70 t465.t2.a14 t465.t2.t72 t465.t2.t41 t465.t2.t43 t465.t2.t45 t465.t2.t52 t465.t2.t54 t465.t2.t57 t465.t2.t58))
% 11.48/11.73  (step t465.t2.t74 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.identity))) :rule cong :premises (t465.t2.t73))
% 11.48/11.73  (step t465.t2.t75 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule symm :premises (t465.t2.t57))
% 11.48/11.73  (step t465.t2.t76 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule symm :premises (t465.t2.t52))
% 11.48/11.73  (step t465.t2.t77 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t465.t2.t41))
% 11.48/11.73  (step t465.t2.t78 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t465.t2.a14))
% 11.48/11.73  (step t465.t2.t79 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t465.t2.t60 t465.t2.t35))
% 11.48/11.73  (step t465.t2.t80 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t465.t2.a4))
% 11.48/11.73  (step t465.t2.t81 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t465.t2.a2))
% 11.48/11.73  (step t465.t2.t82 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t465.t2.t15))
% 11.48/11.73  (step t465.t2.t83 (cl (= tptp.identity (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t465.t2.a5 t465.t2.t75 t465.t2.t53 t465.t2.t76 t465.t2.t50 t465.t2.t42 t465.t2.t77 t465.t2.t71 t465.t2.t78 t465.t2.t79 t465.t2.t80 t465.t2.t32 t465.t2.t81 t465.t2.t7 t465.t2.t82))
% 11.48/11.73  (step t465.t2.t84 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t465.t2.t83))
% 11.48/11.73  (step t465.t2.t85 (cl (= (tptp.inverse (tptp.inverse (tptp.inverse tptp.sk_c3))) (tptp.inverse tptp.sk_c10))) :rule cong :premises (t465.t2.t16))
% 11.48/11.73  (step t465.t2.t86 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule cong :premises (t465.t2.t7))
% 11.48/11.73  (step t465.t2.t87 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule trans :premises (t465.t2.t74 t465.t2.t84 t465.t2.t85 t465.t2.t86))
% 11.48/11.73  (step t465.t2 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule subproof :discharge (t465.t2.a0 t465.t2.a1 t465.t2.a2 t465.t2.a3 t465.t2.a4 t465.t2.a5 t465.t2.a6 t465.t2.a7 t465.t2.a8 t465.t2.a9 t465.t2.a10 t465.t2.a11 t465.t2.a12 t465.t2.a13 t465.t2.a14 t465.t2.a15 t465.t2.a16 t465.t2.a17))
% 11.48/11.73  (step t465.t3 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t465.t4 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t465.t5 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t465.t6 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t465.t7 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t465.t8 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t465.t9 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t465.t10 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t465.t11 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t465.t12 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule and_pos)
% 11.48/11.73  (step t465.t13 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t465.t14 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t465.t15 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t465.t16 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t465.t17 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.73  (step t465.t18 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.48/11.73  (step t465.t19 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.48/11.73  (step t465.t20 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t465.t21 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t465.t2 t465.t3 t465.t4 t465.t5 t465.t6 t465.t7 t465.t8 t465.t9 t465.t10 t465.t11 t465.t12 t465.t13 t465.t14 t465.t15 t465.t16 t465.t17 t465.t18 t465.t19 t465.t20))
% 11.48/11.73  (step t465.t22 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule reordering :premises (t465.t21))
% 11.48/11.73  (step t465.t23 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule contraction :premises (t465.t22))
% 11.48/11.73  (step t465.t24 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t465.t1 t465.t23))
% 11.48/11.73  (step t465.t25 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule implies_neg2)
% 11.48/11.73  (step t465.t26 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule resolution :premises (t465.t24 t465.t25))
% 11.48/11.73  (step t465.t27 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule contraction :premises (t465.t26))
% 11.48/11.73  (step t465.t28 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule implies :premises (t465.t27))
% 11.48/11.73  (step t465.t29 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse 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_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule and_neg)
% 11.48/11.73  (step t465.t30 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule resolution :premises (t465.t29 t465.a0 t465.a2 t465.a1 t465.a6 t465.a15 t465.a7 t465.a9 t465.a16 t465.a5 t465.a12 t465.a17 t465.a8 t465.a3 t465.a13 t465.a11 t465.a10 t465.a4 t465.a14))
% 11.48/11.73  (step t465.t31 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t465.t28 t465.t30))
% 11.48/11.73  (step t465 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule subproof :discharge (t465.a0 t465.a1 t465.a2 t465.a3 t465.a4 t465.a5 t465.a6 t465.a7 t465.a8 t465.a9 t465.a10 t465.a11 t465.a12 t465.a13 t465.a14 t465.a15 t465.a16 t465.a17))
% 11.48/11.73  (step t466 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t467 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t468 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t469 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t470 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.48/11.73  (step t471 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t472 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t473 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.73  (step t474 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t475 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t476 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.48/11.73  (step t477 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.48/11.73  (step t478 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) :rule and_pos)
% 11.48/11.73  (step t479 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t480 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t481 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t482 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t483 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.73  (step t484 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t465 t466 t467 t468 t469 t470 t471 t472 t473 t474 t475 t476 t477 t478 t479 t480 t481 t482 t483))
% 11.48/11.73  (step t485 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule reordering :premises (t484))
% 11.48/11.73  (step t486 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule contraction :premises (t485))
% 11.48/11.73  (step t487 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t464 t486))
% 11.48/11.73  (step t488 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule implies_neg2)
% 11.48/11.73  (step t489 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule resolution :premises (t487 t488))
% 11.48/11.73  (step t490 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule contraction :premises (t489))
% 11.48/11.73  (step t491 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= 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.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule implies :premises (t490))
% 11.48/11.73  (step t492 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t463 t491))
% 11.48/11.73  (step t493 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t494)
% 11.48/11.73  (assume t494.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.73  (step t494.t1 (cl (or (not (forall ((X $$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_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule forall_inst :args ((:= X tptp.sk_c10) (:= Y tptp.sk_c11) (:= Z tptp.sk_c11)))
% 11.48/11.73  (step t494.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule or :premises (t494.t1))
% 11.48/11.73  (step t494.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule resolution :premises (t494.t2 t494.a0))
% 11.48/11.73  (step t494 (cl (not (forall ((X $$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_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule subproof :discharge (t494.a0))
% 11.48/11.73  (step t495 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule resolution :premises (t493 t494))
% 11.48/11.73  (step t496 (cl (=> (forall ((X $$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_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg2)
% 11.48/11.73  (step t497 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule resolution :premises (t495 t496))
% 11.48/11.73  (step t498 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule contraction :premises (t497))
% 11.48/11.73  (step t499 (cl (not (forall ((X $$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_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule implies :premises (t498))
% 11.48/11.73  (step t500 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule resolution :premises (t499 a2))
% 11.48/11.73  (step t501 (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)
% 11.48/11.73  (step t502 (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 (t501))
% 11.48/11.73  (step t503 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c10 (tptp.inverse 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_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_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.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t389 t407 t251 t329 t337 t353 t435 t251 t259 t267 t275 t283 t299 t318 t329 t337 t353 t361 t369 t377 t462 t251 t259 t267 t275 t283 t291 t318 t329 t337 t353 t361 t377 t492 t251 t259 t267 t500 t275 t283 t291 t299 t318 t329 t337 t353 t361 t369 t377 t502))
% 11.48/11.73  (step t504 (cl (not (= tptp.sk_c10 (tptp.inverse 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)))) :rule contraction :premises (t503))
% 11.48/11.73  (step t505 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.48/11.73  (step t506 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule all_simplify)
% 11.48/11.73  (step t507 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 11.48/11.73  (step t508 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t506 t507))
% 11.48/11.73  (step t509 (cl (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t505 t508 a14))
% 11.48/11.73  (step t510 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t509))
% 11.48/11.73  (step t511 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule reordering :premises (t510))
% 11.48/11.73  (step t512 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.48/11.73  (step t513 (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)
% 11.48/11.73  (step t514 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t506 t513))
% 11.48/11.73  (step t515 (cl (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t512 t514 a15))
% 11.48/11.73  (step t516 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t515))
% 11.48/11.73  (step t517 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule reordering :premises (t516))
% 11.48/11.73  (step t518 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.48/11.73  (step t519 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 11.48/11.73  (step t520 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t506 t519))
% 11.48/11.73  (step t521 (cl (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t518 t520 a16))
% 11.48/11.73  (step t522 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t521))
% 11.48/11.73  (step t523 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule reordering :premises (t522))
% 11.48/11.73  (step t524 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule equiv_pos2)
% 11.48/11.73  (step t525 (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)
% 11.48/11.73  (step t526 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t506 t525))
% 11.48/11.73  (step t527 (cl (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t524 t526 a13))
% 11.48/11.73  (step t528 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule or :premises (t527))
% 11.48/11.73  (step t529 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule reordering :premises (t528))
% 11.48/11.73  (step t530 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule resolution :premises (t504 t511 t517 t523 t529))
% 11.48/11.73  (step t531 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule contraction :premises (t530))
% 11.48/11.73  (step t532 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.48/11.73  (step t533 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t534)
% 11.48/11.73  (assume t534.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.73  (assume t534.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.73  (assume t534.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.48/11.73  (assume t534.a3 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.48/11.73  (assume t534.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.48/11.73  (assume t534.a5 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.73  (assume t534.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.48/11.73  (assume t534.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.73  (assume t534.a8 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.73  (assume t534.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.73  (assume t534.a10 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t534.a11 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t534.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.48/11.73  (assume t534.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.48/11.73  (assume t534.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.48/11.73  (assume t534.a15 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.48/11.73  (assume t534.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.48/11.73  (assume t534.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.48/11.73  (assume t534.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.48/11.73  (assume t534.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.48/11.73  (assume t534.a20 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.48/11.73  (assume t534.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))
% 11.48/11.73  (assume t534.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t534.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.73  (assume t534.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (step t534.t1 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.48/11.73  (anchor :step t534.t2)
% 11.48/11.73  (assume t534.t2.a0 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.73  (assume t534.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.73  (assume t534.t2.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.73  (assume t534.t2.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.48/11.73  (assume t534.t2.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.48/11.73  (assume t534.t2.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.48/11.73  (assume t534.t2.a6 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.48/11.73  (assume t534.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.48/11.73  (assume t534.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.48/11.73  (assume t534.t2.a9 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.48/11.73  (assume t534.t2.a10 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t534.t2.a11 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.48/11.73  (assume t534.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.48/11.73  (assume t534.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.48/11.73  (assume t534.t2.a14 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.48/11.73  (assume t534.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.48/11.73  (assume t534.t2.a16 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.73  (assume t534.t2.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.73  (assume t534.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))
% 11.48/11.73  (assume t534.t2.a19 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.48/11.73  (assume t534.t2.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (assume t534.t2.a21 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.73  (assume t534.t2.a22 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.73  (assume t534.t2.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.73  (assume t534.t2.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.73  (step t534.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t534.t2.a2))
% 11.48/11.73  (step t534.t2.t2 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.48/11.73  (step t534.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t534.t2.a17))
% 11.48/11.73  (step t534.t2.t4 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.48/11.73  (step t534.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t534.t2.a9))
% 11.48/11.73  (step t534.t2.t6 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t534.t2.t5))
% 11.48/11.73  (step t534.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t534.t2.a8))
% 11.48/11.73  (step t534.t2.t8 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t534.t2.t7))
% 11.48/11.73  (step t534.t2.t9 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.48/11.73  (step t534.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule cong :premises (t534.t2.t8 t534.t2.t9))
% 11.48/11.73  (step t534.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t534.t2.a7))
% 11.48/11.73  (step t534.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule symm :premises (t534.t2.t11))
% 11.48/11.73  (step t534.t2.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t534.t2.a6))
% 11.48/11.73  (step t534.t2.t14 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t534.t2.a4))
% 11.48/11.73  (step t534.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule cong :premises (t534.t2.t13 t534.t2.t14))
% 11.48/11.73  (step t534.t2.t16 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t534.t2.t6 t534.t2.t10 t534.t2.t12 t534.t2.t15))
% 11.48/11.73  (step t534.t2.t17 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t534.t2.t4 t534.t2.t16))
% 11.48/11.73  (step t534.t2.t18 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t534.t2.a5))
% 11.48/11.73  (step t534.t2.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c11))) :rule trans :premises (t534.t2.t14 t534.t2.a0))
% 11.48/11.73  (step t534.t2.t20 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.48/11.73  (step t534.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t534.t2.t19 t534.t2.t20))
% 11.48/11.73  (step t534.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t534.t2.a0))
% 11.48/11.73  (step t534.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t534.t2.t22 t534.t2.t20))
% 11.48/11.73  (step t534.t2.t24 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule trans :premises (t534.t2.a4 t534.t2.t17 t534.t2.t18 t534.t2.t21 t534.t2.t23))
% 11.48/11.73  (step t534.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t534.t2.t1 t534.t2.t24))
% 11.48/11.73  (step t534.t2.t26 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t534.t2.a3))
% 11.48/11.73  (step t534.t2.t27 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t534.t2.t1))
% 11.48/11.73  (step t534.t2.t28 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t534.t2.t27 t534.t2.t20))
% 11.48/11.73  (step t534.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t534.t2.a1))
% 11.48/11.73  (step t534.t2.t30 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule trans :premises (t534.t2.t28 t534.t2.t29))
% 11.48/11.73  (step t534.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t534.t2.t30 t534.t2.t20))
% 11.48/11.73  (step t534.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) :rule trans :premises (t534.t2.t3 t534.t2.a1 t534.t2.t25 t534.t2.t26 t534.t2.t31 t534.t2.t22))
% 11.48/11.73  (step t534.t2.t33 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t534.t2.t2 t534.t2.t32))
% 11.48/11.73  (step t534.t2.t34 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule symm :premises (t534.t2.t33))
% 11.48/11.73  (step t534.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t534.t2.a19))
% 11.48/11.73  (step t534.t2.t36 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t534.t2.t35))
% 11.48/11.73  (step t534.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.identity tptp.identity))) :rule trans :premises (t534.t2.t3 t534.t2.t36))
% 11.48/11.73  (step t534.t2.t38 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule cong :premises (t534.t2.t2 t534.t2.t37))
% 11.48/11.73  (step t534.t2.t39 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity))) :rule symm :premises (t534.t2.a18))
% 11.48/11.73  (step t534.t2.t40 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t534.t2.t2 t534.t2.a17))
% 11.48/11.73  (step t534.t2.t41 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t534.t2.a16))
% 11.48/11.73  (step t534.t2.t42 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t534.t2.a13))
% 11.48/11.73  (step t534.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t534.t2.t42))
% 11.48/11.73  (step t534.t2.t44 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t534.t2.a0 t534.t2.t30))
% 11.48/11.73  (step t534.t2.t45 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.48/11.73  (step t534.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule cong :premises (t534.t2.t22 t534.t2.t45))
% 11.48/11.73  (step t534.t2.t47 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t534.t2.t43 t534.t2.t44 t534.t2.t46))
% 11.48/11.73  (step t534.t2.t48 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t534.t2.t47))
% 11.48/11.73  (step t534.t2.t49 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule refl)
% 11.48/11.73  (step t534.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t534.t2.t49 t534.t2.t24))
% 11.48/11.73  (step t534.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t534.t2.a14))
% 11.48/11.73  (step t534.t2.t52 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule cong :premises (t534.t2.t47 t534.t2.t20))
% 11.48/11.73  (step t534.t2.t53 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule symm :premises (t534.t2.a12))
% 11.48/11.73  (step t534.t2.t54 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t534.t2.t53))
% 11.48/11.73  (step t534.t2.t55 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t534.t2.t20 t534.t2.t22))
% 11.48/11.73  (step t534.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t534.t2.t23))
% 11.48/11.73  (step t534.t2.t57 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t534.t2.t21))
% 11.48/11.73  (step t534.t2.t58 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule symm :premises (t534.t2.t17))
% 11.48/11.73  (step t534.t2.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t534.t2.t31))
% 11.48/11.73  (step t534.t2.t60 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t534.t2.t25))
% 11.48/11.73  (step t534.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t534.t2.t50 t534.t2.t51 t534.t2.t52 t534.t2.t54 t534.t2.t55 t534.t2.t56 t534.t2.t57 t534.t2.a5 t534.t2.t58 t534.t2.t14 t534.t2.a0 t534.t2.t59 t534.t2.a3 t534.t2.t60 t534.t2.t29))
% 11.48/11.73  (step t534.t2.t62 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) tptp.identity)) :rule trans :premises (t534.t2.t48 t534.t2.t61))
% 11.48/11.73  (step t534.t2.t63 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.48/11.73  (step t534.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t534.t2.t62 t534.t2.t63))
% 11.48/11.73  (step t534.t2.t65 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t534.t2.t64))
% 11.48/11.73  (step t534.t2.t66 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t534.t2.t20 t534.t2.a11))
% 11.48/11.73  (step t534.t2.t67 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t534.t2.t66))
% 11.48/11.73  (step t534.t2.t68 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t534.t2.t40 t534.t2.t33 t534.t2.t41 t534.t2.a11 t534.t2.t65 t534.t2.a15 t534.t2.t67))
% 11.48/11.73  (step t534.t2.t69 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t534.t2.a15))
% 11.48/11.73  (step t534.t2.t70 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t534.t2.a11))
% 11.48/11.73  (step t534.t2.t71 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t534.t2.t66 t534.t2.t69 t534.t2.t64 t534.t2.t70))
% 11.48/11.73  (step t534.t2.t72 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) tptp.sk_c10)) :rule trans :premises (t534.t2.t68 t534.t2.t71))
% 11.48/11.73  (step t534.t2.t73 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t534.t2.t72 t534.t2.t45))
% 11.48/11.73  (step t534.t2.t74 (cl (= tptp.identity tptp.sk_c11)) :rule trans :premises (t534.t2.a1 t534.t2.t25 t534.t2.t26 t534.t2.t31 t534.t2.t22))
% 11.48/11.73  (step t534.t2.t75 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t534.t2.t27 t534.t2.t74))
% 11.48/11.73  (step t534.t2.t76 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.48/11.73  (step t534.t2.t77 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity)) :rule trans :premises (t534.t2.t40 t534.t2.t38 t534.t2.t39 t534.t2.t73 t534.t2.t75 t534.t2.t29))
% 11.48/11.73  (step t534.t2.t78 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.48/11.73  (step t534.t2.t79 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t534.t2.t77 t534.t2.t78))
% 11.48/11.73  (step t534.t2.t80 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t534.t2.t79))
% 11.48/11.73  (step t534.t2.t81 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t534.t2.t72 t534.t2.t78))
% 11.48/11.73  (step t534.t2.t82 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t534.t2.a10 t534.t2.t80 t534.t2.t81))
% 11.48/11.73  (step t534.t2.t83 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t534.t2.t76 t534.t2.t82))
% 11.48/11.73  (step t534.t2.t84 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t534.t2.a24))
% 11.48/11.73  (step t534.t2.t85 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule trans :premises (t534.t2.a16 t534.t2.t34 t534.t2.t38 t534.t2.t39 t534.t2.t73 t534.t2.t75 t534.t2.t29 t534.t2.a17))
% 11.48/11.73  (step t534.t2.t86 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t534.t2.t76 t534.t2.t85))
% 11.48/11.73  (step t534.t2.t87 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t534.t2.a23))
% 11.48/11.73  (step t534.t2.t88 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t534.t2.a22))
% 11.48/11.73  (step t534.t2.t89 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t534.t2.t88 t534.t2.t2))
% 11.48/11.73  (step t534.t2.t90 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t534.t2.a21))
% 11.48/11.73  (step t534.t2.t91 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c3)) :rule trans :premises (t534.t2.t86 t534.t2.t87 t534.t2.t89 t534.t2.t90))
% 11.48/11.73  (step t534.t2.t92 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t534.t2.t2 t534.t2.a10))
% 11.48/11.73  (step t534.t2.t93 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t534.t2.a20))
% 11.48/11.73  (step t534.t2.t94 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t534.t2.a10))
% 11.48/11.73  (step t534.t2.t95 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule trans :premises (t534.t2.t92 t534.t2.t93 t534.t2.t79 t534.t2.t94))
% 11.48/11.73  (step t534.t2.t96 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t534.t2.t95))
% 11.48/11.73  (step t534.t2.t97 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t534.t2.t91 t534.t2.t96))
% 11.48/11.73  (step t534.t2.t98 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t534.t2.a21 t534.t2.t95))
% 11.48/11.73  (step t534.t2.t99 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t534.t2.t90 t534.t2.t78))
% 11.48/11.73  (step t534.t2.t100 (cl (= tptp.identity (tptp.inverse tptp.sk_c3))) :rule trans :premises (t534.t2.a22 t534.t2.t83 t534.t2.t84 t534.t2.t97 t534.t2.t98 t534.t2.t99 t534.t2.t92 t534.t2.t93 t534.t2.t79 t534.t2.t94))
% 11.48/11.73  (step t534.t2.t101 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t534.t2.t74 t534.t2.t100))
% 11.48/11.73  (step t534.t2.t102 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t534.t2.t1 t534.t2.a16 t534.t2.t34 t534.t2.t38 t534.t2.t39 t534.t2.t73 t534.t2.t75 t534.t2.t29 t534.t2.t36 t534.t2.t101))
% 11.48/11.73  (step t534.t2 (cl (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t534.t2.a0 t534.t2.a1 t534.t2.a2 t534.t2.a3 t534.t2.a4 t534.t2.a5 t534.t2.a6 t534.t2.a7 t534.t2.a8 t534.t2.a9 t534.t2.a10 t534.t2.a11 t534.t2.a12 t534.t2.a13 t534.t2.a14 t534.t2.a15 t534.t2.a16 t534.t2.a17 t534.t2.a18 t534.t2.a19 t534.t2.a20 t534.t2.a21 t534.t2.a22 t534.t2.a23 t534.t2.a24))
% 11.48/11.73  (step t534.t3 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t534.t4 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t534.t5 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.73  (step t534.t6 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t534.t7 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.48/11.73  (step t534.t8 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.73  (step t534.t9 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.48/11.73  (step t534.t10 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.48/11.73  (step t534.t11 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.48/11.73  (step t534.t12 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.48/11.73  (step t534.t13 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.73  (step t534.t14 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.48/11.73  (step t534.t15 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.48/11.74  (step t534.t16 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.74  (step t534.t17 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.74  (step t534.t18 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.48/11.74  (step t534.t19 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.74  (step t534.t20 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.74  (step t534.t21 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 11.48/11.74  (step t534.t22 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.48/11.74  (step t534.t23 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.74  (step t534.t24 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.74  (step t534.t25 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.74  (step t534.t26 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.74  (step t534.t27 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.74  (step t534.t28 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t534.t2 t534.t3 t534.t4 t534.t5 t534.t6 t534.t7 t534.t8 t534.t9 t534.t10 t534.t11 t534.t12 t534.t13 t534.t14 t534.t15 t534.t16 t534.t17 t534.t18 t534.t19 t534.t20 t534.t21 t534.t22 t534.t23 t534.t24 t534.t25 t534.t26 t534.t27))
% 11.48/11.74  (step t534.t29 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t534.t28))
% 11.48/11.74  (step t534.t30 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t534.t29))
% 11.48/11.74  (step t534.t31 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t534.t1 t534.t30))
% 11.48/11.74  (step t534.t32 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.48/11.74  (step t534.t33 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t534.t31 t534.t32))
% 11.48/11.74  (step t534.t34 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t534.t33))
% 11.48/11.74  (step t534.t35 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t534.t34))
% 11.48/11.74  (step t534.t36 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.48/11.74  (step t534.t37 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t534.t36 t534.a5 t534.a7 t534.a0 t534.a19 t534.a2 t534.a18 t534.a3 t534.a17 t534.a16 t534.a15 t534.a10 t534.a6 t534.a12 t534.a14 t534.a20 t534.a13 t534.a1 t534.a9 t534.a21 t534.a4 t534.a22 t534.a8 t534.a11 t534.a23 t534.a24))
% 11.48/11.74  (step t534.t38 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t534.t35 t534.t37))
% 11.48/11.74  (step t534 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t534.a0 t534.a1 t534.a2 t534.a3 t534.a4 t534.a5 t534.a6 t534.a7 t534.a8 t534.a9 t534.a10 t534.a11 t534.a12 t534.a13 t534.a14 t534.a15 t534.a16 t534.a17 t534.a18 t534.a19 t534.a20 t534.a21 t534.a22 t534.a23 t534.a24))
% 11.48/11.74  (step t535 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.74  (step t536 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.74  (step t537 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.48/11.74  (step t538 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.48/11.74  (step t539 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.48/11.74  (step t540 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.74  (step t541 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.48/11.74  (step t542 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.74  (step t543 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.74  (step t544 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.48/11.74  (step t545 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.74  (step t546 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.74  (step t547 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.48/11.74  (step t548 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.48/11.74  (step t549 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.74  (step t550 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.48/11.74  (step t551 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.48/11.74  (step t552 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.48/11.74  (step t553 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.74  (step t554 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.74  (step t555 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.74  (step t556 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 11.48/11.74  (step t557 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.74  (step t558 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.74  (step t559 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.74  (step t560 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t534 t535 t536 t537 t538 t539 t540 t541 t542 t543 t544 t545 t546 t547 t548 t549 t550 t551 t552 t553 t554 t555 t556 t557 t558 t559))
% 11.48/11.74  (step t561 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t560))
% 11.48/11.74  (step t562 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t561))
% 11.48/11.74  (step t563 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t533 t562))
% 11.48/11.74  (step t564 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.48/11.74  (step t565 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t563 t564))
% 11.48/11.74  (step t566 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t565))
% 11.48/11.74  (step t567 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t566))
% 11.48/11.74  (step t568 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t532 t567))
% 11.48/11.74  (step t569 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.74  (anchor :step t570)
% 11.48/11.74  (assume t570.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.74  (step t570.t1 (cl (or (not (forall ((X $$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.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.inverse tptp.sk_c3))) (:= Y tptp.sk_c10) (:= Z (tptp.inverse tptp.sk_c3))))
% 11.48/11.74  (step t570.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t570.t1))
% 11.48/11.74  (step t570.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t570.t2 t570.a0))
% 11.48/11.74  (step t570 (cl (not (forall ((X $$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.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t570.a0))
% 11.48/11.74  (step t571 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t569 t570))
% 11.48/11.74  (step t572 (cl (=> (forall ((X $$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.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.48/11.74  (step t573 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t571 t572))
% 11.48/11.74  (step t574 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t573))
% 11.48/11.74  (step t575 (cl (not (forall ((X $$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.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t574))
% 11.48/11.74  (step t576 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t575 a2))
% 11.48/11.74  (step t577 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.74  (anchor :step t578)
% 11.48/11.74  (assume t578.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.74  (step t578.t1 (cl (or (not (forall ((X $$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_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X tptp.sk_c3) (:= Y tptp.identity) (:= Z (tptp.inverse tptp.sk_c3))))
% 11.48/11.74  (step t578.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule or :premises (t578.t1))
% 11.48/11.74  (step t578.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t578.t2 t578.a0))
% 11.48/11.74  (step t578 (cl (not (forall ((X $$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_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t578.a0))
% 11.48/11.74  (step t579 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t577 t578))
% 11.48/11.74  (step t580 (cl (=> (forall ((X $$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_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.48/11.74  (step t581 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (=> (forall ((X $$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_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t579 t580))
% 11.48/11.74  (step t582 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t581))
% 11.48/11.74  (step t583 (cl (not (forall ((X $$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_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t582))
% 11.48/11.74  (step t584 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t583 a2))
% 11.48/11.74  (step t585 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.74  (anchor :step t586)
% 11.48/11.74  (assume t586.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.74  (step t586.t1 (cl (or (not (forall ((X $$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_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) :rule forall_inst :args ((:= X tptp.sk_c3) (:= Y tptp.identity) (:= Z tptp.identity)))
% 11.48/11.74  (step t586.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule or :premises (t586.t1))
% 11.48/11.74  (step t586.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t586.t2 t586.a0))
% 11.48/11.74  (step t586 (cl (not (forall ((X $$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_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule subproof :discharge (t586.a0))
% 11.48/11.74  (step t587 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t585 t586))
% 11.48/11.74  (step t588 (cl (=> (forall ((X $$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_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) :rule implies_neg2)
% 11.48/11.74  (step t589 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (=> (forall ((X $$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_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t587 t588))
% 11.48/11.74  (step t590 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) :rule contraction :premises (t589))
% 11.48/11.74  (step t591 (cl (not (forall ((X $$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_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule implies :premises (t590))
% 11.48/11.74  (step t592 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t591 a2))
% 11.48/11.74  (step t593 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.74  (anchor :step t594)
% 11.48/11.74  (assume t594.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.74  (step t594.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (:= Y tptp.sk_c11) (:= Z tptp.sk_c11)))
% 11.48/11.74  (step t594.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule or :premises (t594.t1))
% 11.48/11.74  (step t594.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule resolution :premises (t594.t2 t594.a0))
% 11.48/11.74  (step t594 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule subproof :discharge (t594.a0))
% 11.48/11.74  (step t595 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule resolution :premises (t593 t594))
% 11.48/11.74  (step t596 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg2)
% 11.48/11.74  (step t597 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule resolution :premises (t595 t596))
% 11.48/11.74  (step t598 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule contraction :premises (t597))
% 11.48/11.74  (step t599 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule implies :premises (t598))
% 11.48/11.74  (step t600 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule resolution :premises (t599 a2))
% 11.48/11.74  (step t601 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.74  (anchor :step t602)
% 11.48/11.74  (assume t602.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.74  (step t602.t1 (cl (or (not (forall ((X $$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_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c2) (:= Z tptp.sk_c11)))
% 11.48/11.74  (step t602.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule or :premises (t602.t1))
% 11.48/11.74  (step t602.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule resolution :premises (t602.t2 t602.a0))
% 11.48/11.74  (step t602 (cl (not (forall ((X $$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_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule subproof :discharge (t602.a0))
% 11.48/11.74  (step t603 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule resolution :premises (t601 t602))
% 11.48/11.74  (step t604 (cl (=> (forall ((X $$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_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule implies_neg2)
% 11.48/11.74  (step t605 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule resolution :premises (t603 t604))
% 11.48/11.74  (step t606 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule contraction :premises (t605))
% 11.48/11.74  (step t607 (cl (not (forall ((X $$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_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule implies :premises (t606))
% 11.48/11.74  (step t608 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule resolution :premises (t607 a2))
% 11.48/11.74  (step t609 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.74  (anchor :step t610)
% 11.48/11.74  (assume t610.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.74  (step t610.t1 (cl (or (not (forall ((X $$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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c1)) (:= Y tptp.sk_c1) (:= Z tptp.sk_c2)))
% 11.48/11.74  (step t610.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule or :premises (t610.t1))
% 11.48/11.74  (step t610.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule resolution :premises (t610.t2 t610.a0))
% 11.48/11.74  (step t610 (cl (not (forall ((X $$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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule subproof :discharge (t610.a0))
% 11.48/11.74  (step t611 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule resolution :premises (t609 t610))
% 11.48/11.74  (step t612 (cl (=> (forall ((X $$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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))) :rule implies_neg2)
% 11.48/11.74  (step t613 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (=> (forall ((X $$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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))) :rule resolution :premises (t611 t612))
% 11.48/11.74  (step t614 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))) :rule contraction :premises (t613))
% 11.48/11.74  (step t615 (cl (not (forall ((X $$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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule implies :premises (t614))
% 11.48/11.74  (step t616 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule resolution :premises (t615 a2))
% 11.48/11.74  (step t617 (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)
% 11.48/11.74  (anchor :step t618)
% 11.48/11.74  (assume t618.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.48/11.74  (step t618.t1 (cl (or (not (forall ((X $$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)))
% 11.48/11.74  (step t618.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t618.t1))
% 11.48/11.74  (step t618.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t618.t2 t618.a0))
% 11.48/11.74  (step t618 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t618.a0))
% 11.48/11.74  (step t619 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t617 t618))
% 11.48/11.74  (step t620 (cl (=> (forall ((X $$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)
% 11.48/11.74  (step t621 (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 (t619 t620))
% 11.48/11.74  (step t622 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t621))
% 11.48/11.74  (step t623 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule implies :premises (t622))
% 11.48/11.74  (step t624 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t623 t309))
% 11.48/11.74  (step t625 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.48/11.74  (anchor :step t626)
% 11.48/11.74  (assume t626.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.48/11.74  (step t626.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 11.48/11.74  (step t626.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule or :premises (t626.t1))
% 11.48/11.74  (step t626.t3 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t626.t2 t626.a0))
% 11.48/11.74  (step t626 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule subproof :discharge (t626.a0))
% 11.48/11.74  (step t627 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t625 t626))
% 11.48/11.74  (step t628 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg2)
% 11.48/11.74  (step t629 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t627 t628))
% 11.48/11.74  (step t630 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule contraction :premises (t629))
% 11.48/11.74  (step t631 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule implies :premises (t630))
% 11.48/11.74  (step t632 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t631 t328))
% 11.48/11.74  (step t633 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.48/11.74  (anchor :step t634)
% 11.48/11.74  (assume t634.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.48/11.74  (step t634.t1 (cl (or (not (forall ((X $$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.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))) :rule forall_inst :args ((:= X tptp.sk_c11) (:= Y tptp.identity) (:= Z tptp.sk_c11)))
% 11.48/11.74  (step t634.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule or :premises (t634.t1))
% 11.48/11.74  (step t634.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule resolution :premises (t634.t2 t634.a0))
% 11.48/11.74  (step t634 (cl (not (forall ((X $$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.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule subproof :discharge (t634.a0))
% 11.48/11.74  (step t635 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule resolution :premises (t633 t634))
% 11.48/11.74  (step t636 (cl (=> (forall ((X $$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.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))) :rule implies_neg2)
% 11.48/11.74  (step t637 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))) :rule resolution :premises (t635 t636))
% 11.48/11.74  (step t638 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))) :rule contraction :premises (t637))
% 11.48/11.74  (step t639 (cl (not (forall ((X $$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.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule implies :premises (t638))
% 11.48/11.74  (step t640 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule resolution :premises (t639 a2))
% 11.48/11.74  (step t641 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (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_c11) tptp.sk_c11))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.48/11.74  (step t642 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.48/11.74  (anchor :step t643)
% 11.48/11.74  (assume t643.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.74  (assume t643.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.74  (assume t643.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.48/11.74  (assume t643.a3 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.48/11.74  (assume t643.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.48/11.74  (assume t643.a5 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.74  (assume t643.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.74  (assume t643.a7 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.74  (assume t643.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.74  (assume t643.a9 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.74  (assume t643.a10 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.74  (assume t643.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.48/11.74  (assume t643.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.48/11.74  (assume t643.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.48/11.74  (assume t643.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.48/11.74  (assume t643.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.48/11.74  (assume t643.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))
% 11.48/11.74  (assume t643.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))
% 11.48/11.74  (assume t643.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.74  (assume t643.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.74  (step t643.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg1)
% 11.48/11.74  (anchor :step t643.t2)
% 11.48/11.74  (assume t643.t2.a0 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))
% 11.48/11.74  (assume t643.t2.a1 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.48/11.74  (assume t643.t2.a2 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))
% 11.48/11.74  (assume t643.t2.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))
% 11.48/11.74  (assume t643.t2.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.48/11.74  (assume t643.t2.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.48/11.74  (assume t643.t2.a6 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.48/11.74  (assume t643.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.48/11.74  (assume t643.t2.a8 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.48/11.74  (assume t643.t2.a9 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.48/11.74  (assume t643.t2.a10 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.48/11.74  (assume t643.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.48/11.74  (assume t643.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.48/11.74  (assume t643.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.48/11.74  (assume t643.t2.a14 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.48/11.74  (assume t643.t2.a15 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.48/11.74  (assume t643.t2.a16 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.48/11.74  (assume t643.t2.a17 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.48/11.74  (assume t643.t2.a18 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.48/11.74  (assume t643.t2.a19 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.48/11.74  (step t643.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t643.t2.a6))
% 11.48/11.74  (step t643.t2.t2 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t643.t2.t1))
% 11.48/11.74  (step t643.t2.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.48/11.74  (step t643.t2.t4 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t643.t2.t2 t643.t2.t3))
% 11.48/11.74  (step t643.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t643.t2.a13))
% 11.48/11.74  (step t643.t2.t6 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule trans :premises (t643.t2.t4 t643.t2.t5))
% 11.48/11.74  (step t643.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t643.t2.t6 t643.t2.t3))
% 11.48/11.74  (step t643.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t643.t2.t7))
% 11.48/11.74  (step t643.t2.t9 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.48/11.74  (step t643.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t643.t2.a19))
% 11.48/11.74  (step t643.t2.t11 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t643.t2.t10))
% 11.48/11.74  (step t643.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t643.t2.a7))
% 11.48/11.74  (step t643.t2.t13 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t643.t2.t12))
% 11.48/11.74  (step t643.t2.t14 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.48/11.74  (step t643.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule cong :premises (t643.t2.t13 t643.t2.t14))
% 11.48/11.74  (step t643.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t643.t2.a12))
% 11.48/11.74  (step t643.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule symm :premises (t643.t2.t16))
% 11.48/11.74  (step t643.t2.t18 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t643.t2.a16))
% 11.48/11.74  (step t643.t2.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t643.t2.a8))
% 11.48/11.74  (step t643.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule cong :premises (t643.t2.t18 t643.t2.t19))
% 11.48/11.74  (step t643.t2.t21 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t643.t2.t11 t643.t2.t15 t643.t2.t17 t643.t2.t20))
% 11.48/11.74  (step t643.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t643.t2.t9 t643.t2.t21))
% 11.48/11.74  (step t643.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t643.t2.a5))
% 11.48/11.74  (step t643.t2.t24 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c11))) :rule trans :premises (t643.t2.t19 t643.t2.a10))
% 11.48/11.74  (step t643.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t643.t2.t24 t643.t2.t3))
% 11.48/11.74  (step t643.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t643.t2.a10))
% 11.48/11.74  (step t643.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t643.t2.t26 t643.t2.t3))
% 11.48/11.74  (step t643.t2.t28 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule trans :premises (t643.t2.a8 t643.t2.t22 t643.t2.t23 t643.t2.t25 t643.t2.t27))
% 11.48/11.74  (step t643.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t643.t2.t1 t643.t2.t28))
% 11.48/11.74  (step t643.t2.t30 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t643.t2.t29))
% 11.48/11.74  (step t643.t2.t31 (cl (= tptp.sk_c11 tptp.identity)) :rule trans :premises (t643.t2.a10 t643.t2.t8 t643.t2.a4 t643.t2.t30 t643.t2.t5))
% 11.48/11.74  (step t643.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t643.t2.t1 t643.t2.t31))
% 11.48/11.74  (step t643.t2.t33 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.48/11.74  (step t643.t2.t34 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t643.t2.t33 t643.t2.a18))
% 11.48/11.74  (step t643.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t643.t2.a18))
% 11.48/11.74  (step t643.t2.t36 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t643.t2.a4))
% 11.48/11.74  (step t643.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) :rule trans :premises (t643.t2.t35 t643.t2.a13 t643.t2.t29 t643.t2.t36 t643.t2.t7 t643.t2.t26))
% 11.48/11.74  (step t643.t2.t38 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t643.t2.t33 t643.t2.t37))
% 11.48/11.74  (step t643.t2.t39 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t643.t2.a14))
% 11.48/11.74  (step t643.t2.t40 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) tptp.sk_c10)) :rule trans :premises (t643.t2.t34 t643.t2.t38 t643.t2.t39))
% 11.48/11.74  (step t643.t2.t41 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.identity))) :rule symm :premises (t643.t2.t40))
% 11.48/11.74  (step t643.t2.t42 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.48/11.74  (step t643.t2.t43 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity))) :rule cong :premises (t643.t2.t41 t643.t2.t42))
% 11.48/11.74  (step t643.t2.t44 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity))) :rule symm :premises (t643.t2.a3))
% 11.48/11.74  (step t643.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule symm :premises (t643.t2.t44))
% 11.48/11.74  (step t643.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t643.t2.a9))
% 11.48/11.74  (step t643.t2.t47 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t643.t2.t46))
% 11.48/11.74  (step t643.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t643.t2.t47))
% 11.48/11.74  (step t643.t2.t49 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule trans :premises (t643.t2.t48 t643.t2.a18))
% 11.48/11.74  (step t643.t2.t50 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t643.t2.t33 t643.t2.t49))
% 11.48/11.74  (step t643.t2.t51 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.identity))) :rule symm :premises (t643.t2.t34))
% 11.48/11.74  (step t643.t2.t52 (cl (= tptp.identity (tptp.multiply tptp.sk_c3 tptp.identity))) :rule trans :premises (t643.t2.a13 t643.t2.t32 t643.t2.t43 t643.t2.t45 t643.t2.t50 t643.t2.t51))
% 11.48/11.74  (step t643.t2.t53 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity)) :rule symm :premises (t643.t2.t52))
% 11.48/11.74  (step t643.t2.t54 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.48/11.74  (step t643.t2.t55 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t643.t2.t53 t643.t2.t54))
% 11.48/11.74  (step t643.t2.t56 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t643.t2.t55))
% 11.48/11.74  (step t643.t2.t57 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t643.t2.t33 t643.t2.a17))
% 11.48/11.74  (step t643.t2.t58 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t643.t2.t57))
% 11.48/11.74  (step t643.t2.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t643.t2.a15))
% 11.48/11.74  (step t643.t2.t60 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule symm :premises (t643.t2.t59))
% 11.48/11.74  (step t643.t2.t61 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t643.t2.t60 t643.t2.t54))
% 11.48/11.74  (step t643.t2.t62 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t643.t2.a2))
% 11.48/11.74  (step t643.t2.t63 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t643.t2.a17))
% 11.48/11.74  (step t643.t2.t64 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule trans :premises (t643.t2.t57 t643.t2.t62 t643.t2.t55 t643.t2.t63))
% 11.48/11.74  (step t643.t2.t65 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t643.t2.t64))
% 11.48/11.74  (step t643.t2.t66 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t643.t2.t59 t643.t2.t65))
% 11.48/11.74  (step t643.t2.t67 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule cong :premises (t643.t2.a11 t643.t2.t33))
% 11.48/11.74  (step t643.t2.t68 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t643.t2.a1))
% 11.48/11.74  (step t643.t2.t69 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule symm :premises (t643.t2.t68))
% 11.48/11.74  (step t643.t2.t70 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.48/11.74  (step t643.t2.t71 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c10)) :rule trans :premises (t643.t2.t35 t643.t2.a13 t643.t2.t32 t643.t2.t43 t643.t2.t45 t643.t2.t50 t643.t2.t38 t643.t2.t39))
% 11.48/11.74  (step t643.t2.t72 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10))) :rule cong :premises (t643.t2.t70 t643.t2.t71))
% 11.48/11.74  (step t643.t2.t73 (cl (= tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10))) :rule trans :premises (t643.t2.t60 t643.t2.t67 t643.t2.t69 t643.t2.t72))
% 11.48/11.74  (step t643.t2.t74 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t643.t2.t73 t643.t2.t64))
% 11.48/11.74  (step t643.t2.t75 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t643.t2.a0))
% 11.48/11.74  (step t643.t2.t76 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule symm :premises (t643.t2.t75))
% 11.48/11.74  (step t643.t2.t77 (cl (= (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t643.t2.t41 t643.t2.t54))
% 11.48/11.74  (step t643.t2.t78 (cl (= (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule trans :premises (t643.t2.t77 t643.t2.t55 t643.t2.t63))
% 11.48/11.74  (step t643.t2.t79 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t643.t2.t70 t643.t2.t78))
% 11.48/11.74  (step t643.t2.t80 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t643.t2.a11))
% 11.48/11.74  (step t643.t2.t81 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.identity))) :rule cong :premises (t643.t2.t31))
% 11.48/11.74  (step t643.t2.t82 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.identity)))) :rule cong :premises (t643.t2.t52))
% 11.48/11.74  (step t643.t2.t83 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.identity)) (tptp.inverse tptp.sk_c10))) :rule cong :premises (t643.t2.t40))
% 11.48/11.74  (step t643.t2.t84 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule cong :premises (t643.t2.t2))
% 11.48/11.74  (step t643.t2.t85 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule trans :premises (t643.t2.a17 t643.t2.t56 t643.t2.a2 t643.t2.t58 t643.t2.t61 t643.t2.t66 t643.t2.t74 t643.t2.t76 t643.t2.t79 t643.t2.t80 t643.t2.a13 t643.t2.t32 t643.t2.t43 t643.t2.t45 t643.t2.t50 t643.t2.t38 t643.t2.t39 t643.t2.t2 t643.t2.t81 t643.t2.t82 t643.t2.t83 t643.t2.t84))
% 11.48/11.74  (step t643.t2 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule subproof :discharge (t643.t2.a0 t643.t2.a1 t643.t2.a2 t643.t2.a3 t643.t2.a4 t643.t2.a5 t643.t2.a6 t643.t2.a7 t643.t2.a8 t643.t2.a9 t643.t2.a10 t643.t2.a11 t643.t2.a12 t643.t2.a13 t643.t2.a14 t643.t2.a15 t643.t2.a16 t643.t2.a17 t643.t2.a18 t643.t2.a19))
% 11.48/11.74  (step t643.t3 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.74  (step t643.t4 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.48/11.74  (step t643.t5 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.48/11.74  (step t643.t6 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 11.48/11.74  (step t643.t7 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.74  (step t643.t8 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.48/11.74  (step t643.t9 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.48/11.74  (step t643.t10 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.48/11.74  (step t643.t11 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.48/11.74  (step t643.t12 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.48/11.74  (step t643.t13 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.48/11.74  (step t643.t14 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.48/11.74  (step t643.t15 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.48/11.74  (step t643.t16 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.48/11.74  (step t643.t17 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.48/11.74  (step t643.t18 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.48/11.74  (step t643.t19 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.48/11.74  (step t643.t20 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.74  (step t643.t21 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.51/11.74  (step t643.t22 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.74  (step t643.t23 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))))) :rule resolution :premises (t643.t2 t643.t3 t643.t4 t643.t5 t643.t6 t643.t7 t643.t8 t643.t9 t643.t10 t643.t11 t643.t12 t643.t13 t643.t14 t643.t15 t643.t16 t643.t17 t643.t18 t643.t19 t643.t20 t643.t21 t643.t22))
% 11.51/11.74  (step t643.t24 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule reordering :premises (t643.t23))
% 11.51/11.74  (step t643.t25 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule contraction :premises (t643.t24))
% 11.51/11.74  (step t643.t26 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t643.t1 t643.t25))
% 11.51/11.74  (step t643.t27 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule implies_neg2)
% 11.51/11.74  (step t643.t28 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule resolution :premises (t643.t26 t643.t27))
% 11.51/11.74  (step t643.t29 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule contraction :premises (t643.t28))
% 11.51/11.74  (step t643.t30 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule implies :premises (t643.t29))
% 11.51/11.74  (step t643.t31 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule and_neg)
% 11.51/11.74  (step t643.t32 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= 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.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t643.t31 t643.a19 t643.a18 t643.a17 t643.a16 t643.a15 t643.a14 t643.a0 t643.a12 t643.a2 t643.a4 t643.a5 t643.a10 t643.a13 t643.a6 t643.a1 t643.a7 t643.a3 t643.a9 t643.a8 t643.a11))
% 11.51/11.74  (step t643.t33 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t643.t30 t643.t32))
% 11.51/11.74  (step t643 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (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_c11) tptp.sk_c11))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule subproof :discharge (t643.a0 t643.a1 t643.a2 t643.a3 t643.a4 t643.a5 t643.a6 t643.a7 t643.a8 t643.a9 t643.a10 t643.a11 t643.a12 t643.a13 t643.a14 t643.a15 t643.a16 t643.a17 t643.a18 t643.a19))
% 11.51/11.74  (step t644 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.74  (step t645 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.51/11.74  (step t646 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.74  (step t647 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.74  (step t648 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.51/11.74  (step t649 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.74  (step t650 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.74  (step t651 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.51/11.74  (step t652 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.51/11.74  (step t653 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.74  (step t654 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.74  (step t655 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.74  (step t656 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.74  (step t657 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.74  (step t658 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t659 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t660 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 11.51/11.74  (step t661 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.51/11.74  (step t662 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.51/11.74  (step t663 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.51/11.74  (step t664 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t643 t644 t645 t646 t647 t648 t649 t650 t651 t652 t653 t654 t655 t656 t657 t658 t659 t660 t661 t662 t663))
% 11.51/11.74  (step t665 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule reordering :premises (t664))
% 11.51/11.74  (step t666 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule contraction :premises (t665))
% 11.51/11.74  (step t667 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t642 t666))
% 11.51/11.74  (step t668 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule implies_neg2)
% 11.51/11.74  (step t669 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule resolution :premises (t667 t668))
% 11.51/11.74  (step t670 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule contraction :premises (t669))
% 11.51/11.74  (step t671 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= 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_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule implies :premises (t670))
% 11.51/11.74  (step t672 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (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_c11) tptp.sk_c11))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t641 t671))
% 11.51/11.74  (step t673 (cl (not (= (or (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 (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) (or (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)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) (not (or (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 (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))))) (or (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)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule equiv_pos2)
% 11.51/11.74  (step t674 (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)))) (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)))))) :rule refl)
% 11.51/11.74  (step t675 (cl (= (= (= (not (not (= 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))) true) (= (not (not (= 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 equiv_simplify)
% 11.51/11.74  (step t676 (cl (not (= (= (not (not (= 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))) true)) (= (not (not (= 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 equiv1 :premises (t675))
% 11.51/11.74  (step t677 (cl (= (= (not (not (= 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))) (= (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)) (not (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))))) :rule all_simplify)
% 11.51/11.74  (step t678 (cl (= (= 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 refl)
% 11.51/11.74  (step t679 (cl (= (not (not (= 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 all_simplify)
% 11.51/11.74  (step t680 (cl (= (= (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)) (not (not (= 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)) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) :rule cong :premises (t678 t679))
% 11.51/11.74  (step t681 (cl (= (= (= 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))) true)) :rule all_simplify)
% 11.51/11.74  (step t682 (cl (= (= (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)) (not (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) true)) :rule trans :premises (t680 t681))
% 11.51/11.74  (step t683 (cl (= (= (not (not (= 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))) true)) :rule trans :premises (t677 t682))
% 11.51/11.74  (step t684 (cl (= (not (not (= 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 (t676 t683))
% 11.51/11.74  (step t685 (cl (= (or (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 (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) (or (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)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) :rule cong :premises (t674 t684))
% 11.51/11.74  (step t686 (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 (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) :rule or_neg)
% 11.51/11.74  (step t687 (cl (or (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 (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) (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)))))) :rule or_neg)
% 11.51/11.74  (step t688 (cl (or (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 (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) (not (not (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))))) :rule or_neg)
% 11.51/11.74  (step t689 (cl (or (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 (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))))) (or (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 (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))))) :rule resolution :premises (t686 t687 t688))
% 11.51/11.74  (step t690 (cl (or (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 (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))))) :rule contraction :premises (t689))
% 11.51/11.74  (step t691 (cl (or (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)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule resolution :premises (t673 t685 t690))
% 11.51/11.74  (step t692 (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)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule or :premises (t691))
% 11.51/11.74  (step t693 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)) (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))))) :rule reordering :premises (t692))
% 11.51/11.74  (step t694 (cl (not (= (or (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 (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (or (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (or (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 (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) (or (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule equiv_pos2)
% 11.51/11.74  (step t695 (cl (= (= (= (not (not (= 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)))) true) (= (not (not (= 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 equiv_simplify)
% 11.51/11.74  (step t696 (cl (not (= (= (not (not (= 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)))) true)) (= (not (not (= 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 equiv1 :premises (t695))
% 11.51/11.74  (step t697 (cl (= (= (not (not (= 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)))) (= (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))))) :rule all_simplify)
% 11.51/11.74  (step t698 (cl (= (= 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 refl)
% 11.51/11.74  (step t699 (cl (= (not (not (= 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 all_simplify)
% 11.51/11.74  (step t700 (cl (= (= (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (not (= 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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule cong :premises (t698 t699))
% 11.51/11.74  (step t701 (cl (= (= (= 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)))) true)) :rule all_simplify)
% 11.51/11.74  (step t702 (cl (= (= (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) true)) :rule trans :premises (t700 t701))
% 11.51/11.74  (step t703 (cl (= (= (not (not (= 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)))) true)) :rule trans :premises (t697 t702))
% 11.51/11.74  (step t704 (cl (= (not (not (= 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 (t696 t703))
% 11.51/11.74  (step t705 (cl (= (or (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 (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (or (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule cong :premises (t674 t704))
% 11.51/11.74  (step t706 (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 (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule or_neg)
% 11.51/11.74  (step t707 (cl (or (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 (not (= tptp.sk_c11 (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)))))) :rule or_neg)
% 11.51/11.74  (step t708 (cl (or (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 (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (not (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule or_neg)
% 11.51/11.74  (step t709 (cl (or (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 (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (or (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 (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t706 t707 t708))
% 11.51/11.74  (step t710 (cl (or (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 (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule contraction :premises (t709))
% 11.51/11.74  (step t711 (cl (or (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t694 t705 t710))
% 11.51/11.74  (step t712 (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule or :premises (t711))
% 11.51/11.74  (step t713 (cl (= tptp.sk_c11 (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))))) :rule reordering :premises (t712))
% 11.51/11.74  (step t714 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 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_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) :rule and_neg)
% 11.51/11.74  (step t715 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) :rule implies_neg1)
% 11.51/11.74  (anchor :step t716)
% 11.51/11.74  (assume t716.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.74  (assume t716.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.51/11.74  (assume t716.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.51/11.74  (assume t716.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.51/11.74  (assume t716.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.74  (assume t716.a5 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.74  (assume t716.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.51/11.74  (assume t716.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.74  (assume t716.a8 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.74  (assume t716.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.74  (assume t716.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.51/11.74  (assume t716.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.51/11.74  (assume t716.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.74  (assume t716.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.51/11.74  (assume t716.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.74  (assume t716.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.74  (assume t716.a16 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.74  (assume t716.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.74  (assume t716.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.74  (assume t716.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.74  (assume t716.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.74  (assume t716.a21 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.74  (assume t716.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))
% 11.51/11.74  (step t716.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c9 tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)
% 11.51/11.74  (anchor :step t716.t2)
% 11.51/11.74  (assume t716.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.51/11.74  (assume t716.t2.a1 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.74  (assume t716.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.74  (assume t716.t2.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.74  (assume t716.t2.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.74  (assume t716.t2.a5 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.74  (assume t716.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.74  (assume t716.t2.a7 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.74  (assume t716.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.74  (assume t716.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.74  (assume t716.t2.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.74  (assume t716.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.51/11.74  (assume t716.t2.a12 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.51/11.74  (assume t716.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))
% 11.51/11.74  (assume t716.t2.a14 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.74  (assume t716.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.74  (assume t716.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.74  (assume t716.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.74  (assume t716.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.74  (assume t716.t2.a19 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.51/11.74  (assume t716.t2.a20 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.51/11.74  (assume t716.t2.a21 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.51/11.74  (assume t716.t2.a22 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.51/11.74  (step t716.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t716.t2.a3))
% 11.51/11.74  (step t716.t2.t2 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t716.t2.t1))
% 11.51/11.74  (step t716.t2.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.74  (step t716.t2.t4 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t716.t2.t2 t716.t2.t3))
% 11.51/11.74  (step t716.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t716.t2.a2))
% 11.51/11.74  (step t716.t2.t6 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule trans :premises (t716.t2.t4 t716.t2.t5))
% 11.51/11.74  (step t716.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t716.t2.t6 t716.t2.t3))
% 11.51/11.74  (step t716.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t716.t2.t7))
% 11.51/11.74  (step t716.t2.t9 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.74  (step t716.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t716.t2.a10))
% 11.51/11.74  (step t716.t2.t11 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t716.t2.t10))
% 11.51/11.74  (step t716.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t716.t2.a9))
% 11.51/11.74  (step t716.t2.t13 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t716.t2.t12))
% 11.51/11.74  (step t716.t2.t14 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.74  (step t716.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule cong :premises (t716.t2.t13 t716.t2.t14))
% 11.51/11.74  (step t716.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t716.t2.a8))
% 11.51/11.74  (step t716.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule symm :premises (t716.t2.t16))
% 11.51/11.74  (step t716.t2.t18 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t716.t2.a7))
% 11.51/11.74  (step t716.t2.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t716.t2.a5))
% 11.51/11.74  (step t716.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule cong :premises (t716.t2.t18 t716.t2.t19))
% 11.51/11.74  (step t716.t2.t21 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t716.t2.t11 t716.t2.t15 t716.t2.t17 t716.t2.t20))
% 11.51/11.74  (step t716.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t716.t2.t9 t716.t2.t21))
% 11.51/11.74  (step t716.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t716.t2.a6))
% 11.51/11.74  (step t716.t2.t24 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c11))) :rule trans :premises (t716.t2.t19 t716.t2.a1))
% 11.51/11.74  (step t716.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t716.t2.t24 t716.t2.t3))
% 11.51/11.74  (step t716.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t716.t2.a1))
% 11.51/11.74  (step t716.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t716.t2.t26 t716.t2.t3))
% 11.51/11.74  (step t716.t2.t28 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule trans :premises (t716.t2.a5 t716.t2.t22 t716.t2.t23 t716.t2.t25 t716.t2.t27))
% 11.51/11.74  (step t716.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t716.t2.t1 t716.t2.t28))
% 11.51/11.74  (step t716.t2.t30 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t716.t2.t29))
% 11.51/11.74  (step t716.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t716.t2.a12))
% 11.51/11.74  (step t716.t2.t32 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t716.t2.t31))
% 11.51/11.74  (step t716.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t716.t2.a22))
% 11.51/11.74  (step t716.t2.t34 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t716.t2.t33))
% 11.51/11.74  (step t716.t2.t35 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t716.t2.a21))
% 11.51/11.74  (step t716.t2.t36 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.51/11.74  (step t716.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t716.t2.a11))
% 11.51/11.74  (step t716.t2.t38 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t716.t2.a4))
% 11.51/11.74  (step t716.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) :rule trans :premises (t716.t2.t37 t716.t2.a2 t716.t2.t29 t716.t2.t38 t716.t2.t7 t716.t2.t26))
% 11.51/11.74  (step t716.t2.t40 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t716.t2.t36 t716.t2.t39))
% 11.51/11.74  (step t716.t2.t41 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule symm :premises (t716.t2.t40))
% 11.51/11.74  (step t716.t2.t42 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t716.t2.t32))
% 11.51/11.74  (step t716.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule trans :premises (t716.t2.t42 t716.t2.a11))
% 11.51/11.74  (step t716.t2.t44 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t716.t2.t36 t716.t2.t43))
% 11.51/11.74  (step t716.t2.t45 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule symm :premises (t716.t2.t44))
% 11.51/11.74  (step t716.t2.t46 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity))) :rule symm :premises (t716.t2.a13))
% 11.51/11.74  (step t716.t2.t47 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t716.t2.a16))
% 11.51/11.74  (step t716.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t716.t2.t47))
% 11.51/11.74  (step t716.t2.t49 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t716.t2.a1 t716.t2.t6))
% 11.51/11.74  (step t716.t2.t50 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.51/11.74  (step t716.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule cong :premises (t716.t2.t26 t716.t2.t50))
% 11.51/11.74  (step t716.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t716.t2.t48 t716.t2.t49 t716.t2.t51))
% 11.51/11.74  (step t716.t2.t53 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t716.t2.t52))
% 11.51/11.74  (step t716.t2.t54 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule refl)
% 11.51/11.74  (step t716.t2.t55 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t716.t2.t54 t716.t2.t28))
% 11.51/11.74  (step t716.t2.t56 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t716.t2.a17))
% 11.51/11.74  (step t716.t2.t57 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule cong :premises (t716.t2.t52 t716.t2.t3))
% 11.51/11.74  (step t716.t2.t58 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule symm :premises (t716.t2.a15))
% 11.51/11.74  (step t716.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t716.t2.t58))
% 11.51/11.74  (step t716.t2.t60 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t716.t2.t3 t716.t2.t26))
% 11.51/11.74  (step t716.t2.t61 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t716.t2.t27))
% 11.51/11.74  (step t716.t2.t62 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t716.t2.t25))
% 11.51/11.74  (step t716.t2.t63 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule symm :premises (t716.t2.t22))
% 11.51/11.74  (step t716.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t716.t2.t55 t716.t2.t56 t716.t2.t57 t716.t2.t59 t716.t2.t60 t716.t2.t61 t716.t2.t62 t716.t2.a6 t716.t2.t63 t716.t2.t19 t716.t2.a1 t716.t2.t8 t716.t2.a4 t716.t2.t30 t716.t2.t5))
% 11.51/11.74  (step t716.t2.t65 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) tptp.identity)) :rule trans :premises (t716.t2.t53 t716.t2.t64))
% 11.51/11.74  (step t716.t2.t66 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.51/11.74  (step t716.t2.t67 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t716.t2.t65 t716.t2.t66))
% 11.51/11.74  (step t716.t2.t68 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t716.t2.t67))
% 11.51/11.74  (step t716.t2.t69 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t716.t2.t3 t716.t2.a14))
% 11.51/11.74  (step t716.t2.t70 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t716.t2.t69))
% 11.51/11.74  (step t716.t2.t71 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t716.t2.a14 t716.t2.t68 t716.t2.a18 t716.t2.t70))
% 11.51/11.74  (step t716.t2.t72 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t716.t2.a18))
% 11.51/11.74  (step t716.t2.t73 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t716.t2.a14))
% 11.51/11.74  (step t716.t2.t74 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.identity))) :rule cong :premises (t716.t2.t36 t716.t2.t37))
% 11.51/11.74  (step t716.t2.t75 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c3 tptp.identity))) :rule trans :premises (t716.t2.t69 t716.t2.t72 t716.t2.t67 t716.t2.t73 t716.t2.a0 t716.t2.t41 t716.t2.t74))
% 11.51/11.74  (step t716.t2.t76 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.identity))) :rule trans :premises (t716.t2.t71 t716.t2.t75))
% 11.51/11.74  (step t716.t2.t77 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity))) :rule cong :premises (t716.t2.t76 t716.t2.t50))
% 11.51/11.74  (step t716.t2.t78 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule symm :premises (t716.t2.t77))
% 11.51/11.74  (step t716.t2.t79 (cl (= tptp.sk_c11 tptp.identity)) :rule trans :premises (t716.t2.a1 t716.t2.t8 t716.t2.a4 t716.t2.t30 t716.t2.t5))
% 11.51/11.74  (step t716.t2.t80 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t716.t2.t1 t716.t2.t79))
% 11.51/11.74  (step t716.t2.t81 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t716.t2.t80))
% 11.51/11.74  (step t716.t2.t82 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t716.t2.t35 t716.t2.a0 t716.t2.t41 t716.t2.t45 t716.t2.t46 t716.t2.t78 t716.t2.t81 t716.t2.t5))
% 11.51/11.74  (step t716.t2.t83 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.51/11.74  (step t716.t2.t84 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t716.t2.t82 t716.t2.t83))
% 11.51/11.74  (step t716.t2.t85 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t716.t2.a20))
% 11.51/11.74  (step t716.t2.t86 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t716.t2.t34 t716.t2.t84 t716.t2.t85))
% 11.51/11.74  (step t716.t2.t87 (cl (= tptp.identity tptp.sk_c11)) :rule symm :premises (t716.t2.t79))
% 11.51/11.74  (step t716.t2.t88 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c11))) :rule cong :premises (t716.t2.t86 t716.t2.t87))
% 11.51/11.74  (step t716.t2.t89 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule symm :premises (t716.t2.t46))
% 11.51/11.74  (step t716.t2.t90 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t716.t2.a0))
% 11.51/11.74  (step t716.t2.t91 (cl (= tptp.sk_c11 tptp.sk_c10)) :rule trans :premises (t716.t2.a1 t716.t2.t8 t716.t2.a4 t716.t2.t30 t716.t2.t80 t716.t2.t77 t716.t2.t89 t716.t2.t44 t716.t2.t40 t716.t2.t90))
% 11.51/11.74  (step t716.t2.t92 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c11) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t716.t2.t83 t716.t2.t91))
% 11.51/11.74  (step t716.t2.t93 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t716.t2.a19))
% 11.51/11.74  (step t716.t2.t94 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t716.t2.t32 t716.t2.t88 t716.t2.t92 t716.t2.t93))
% 11.51/11.74  (step t716.t2.t95 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c9 tptp.sk_c11))) :rule cong :premises (t716.t2.t94 t716.t2.t87))
% 11.51/11.74  (step t716.t2.t96 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.51/11.74  (step t716.t2.t97 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c11) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule cong :premises (t716.t2.t96 t716.t2.t91))
% 11.51/11.74  (step t716.t2.t98 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule trans :premises (t716.t2.a1 t716.t2.t8 t716.t2.a4 t716.t2.t30 t716.t2.t5 t716.t2.t32 t716.t2.t95 t716.t2.t97))
% 11.51/11.74  (step t716.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (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.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_c9 tptp.sk_c10))) :rule subproof :discharge (t716.t2.a0 t716.t2.a1 t716.t2.a2 t716.t2.a3 t716.t2.a4 t716.t2.a5 t716.t2.a6 t716.t2.a7 t716.t2.a8 t716.t2.a9 t716.t2.a10 t716.t2.a11 t716.t2.a12 t716.t2.a13 t716.t2.a14 t716.t2.a15 t716.t2.a16 t716.t2.a17 t716.t2.a18 t716.t2.a19 t716.t2.a20 t716.t2.a21 t716.t2.a22))
% 11.51/11.74  (step t716.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c3 tptp.sk_c11))) :rule and_pos)
% 11.51/11.74  (step t716.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)
% 11.51/11.74  (step t716.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)
% 11.51/11.74  (step t716.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c11))) :rule and_pos)
% 11.51/11.74  (step t716.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t716.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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.sk_c2))) :rule and_pos)
% 11.51/11.74  (step t716.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t716.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.74  (step t716.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.74  (step t716.t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)
% 11.51/11.74  (step t716.t13 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.74  (step t716.t14 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c3) tptp.sk_c3))) :rule and_pos)
% 11.51/11.74  (step t716.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)
% 11.51/11.74  (step t716.t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 11.51/11.74  (step t716.t17 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)
% 11.51/11.74  (step t716.t18 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t716.t19 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t716.t20 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t716.t21 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.74  (step t716.t22 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)
% 11.51/11.74  (step t716.t23 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)
% 11.51/11.74  (step t716.t24 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)
% 11.51/11.74  (step t716.t25 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)
% 11.51/11.74  (step t716.t26 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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 (t716.t2 t716.t3 t716.t4 t716.t5 t716.t6 t716.t7 t716.t8 t716.t9 t716.t10 t716.t11 t716.t12 t716.t13 t716.t14 t716.t15 t716.t16 t716.t17 t716.t18 t716.t19 t716.t20 t716.t21 t716.t22 t716.t23 t716.t24 t716.t25))
% 11.51/11.74  (step t716.t27 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c9 tptp.sk_c10))) :rule reordering :premises (t716.t26))
% 11.51/11.74  (step t716.t28 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c9 tptp.sk_c10))) :rule contraction :premises (t716.t27))
% 11.51/11.74  (step t716.t29 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c9 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t716.t1 t716.t28))
% 11.51/11.74  (step t716.t30 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule implies_neg2)
% 11.51/11.74  (step t716.t31 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c9 tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c9 tptp.sk_c10)))) :rule resolution :premises (t716.t29 t716.t30))
% 11.51/11.74  (step t716.t32 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c9 tptp.sk_c10)))) :rule contraction :premises (t716.t31))
% 11.51/11.74  (step t716.t33 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c9 tptp.sk_c10))) :rule implies :premises (t716.t32))
% 11.51/11.74  (step t716.t34 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (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.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.51/11.74  (step t716.t35 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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 (t716.t34 t716.a1 t716.a7 t716.a9 t716.a0 t716.a20 t716.a4 t716.a19 t716.a5 t716.a18 t716.a17 t716.a16 t716.a11 t716.a6 t716.a22 t716.a8 t716.a12 t716.a15 t716.a21 t716.a14 t716.a2 t716.a10 t716.a3 t716.a13))
% 11.51/11.74  (step t716.t36 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t716.t33 t716.t35))
% 11.51/11.74  (step t716 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 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_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule subproof :discharge (t716.a0 t716.a1 t716.a2 t716.a3 t716.a4 t716.a5 t716.a6 t716.a7 t716.a8 t716.a9 t716.a10 t716.a11 t716.a12 t716.a13 t716.a14 t716.a15 t716.a16 t716.a17 t716.a18 t716.a19 t716.a20 t716.a21 t716.a22))
% 11.51/11.74  (step t717 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.74  (step t718 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.51/11.74  (step t719 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.51/11.74  (step t720 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.51/11.74  (step t721 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.74  (step t722 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.74  (step t723 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.51/11.74  (step t724 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.74  (step t725 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.74  (step t726 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.74  (step t727 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.51/11.74  (step t728 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.51/11.74  (step t729 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t730 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.51/11.74  (step t731 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.74  (step t732 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t733 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.74  (step t734 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.74  (step t735 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.74  (step t736 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t737 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t738 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.74  (step t739 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 11.51/11.74  (step t740 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))))) :rule resolution :premises (t716 t717 t718 t719 t720 t721 t722 t723 t724 t725 t726 t727 t728 t729 t730 t731 t732 t733 t734 t735 t736 t737 t738 t739))
% 11.51/11.74  (step t741 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule reordering :premises (t740))
% 11.51/11.74  (step t742 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule contraction :premises (t741))
% 11.51/11.74  (step t743 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t715 t742))
% 11.51/11.74  (step t744 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule implies_neg2)
% 11.51/11.74  (step t745 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule resolution :premises (t743 t744))
% 11.51/11.74  (step t746 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule contraction :premises (t745))
% 11.51/11.74  (step t747 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule implies :premises (t746))
% 11.51/11.74  (step t748 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 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_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t714 t747))
% 11.51/11.74  (step t749 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 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_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))) :rule reordering :premises (t748))
% 11.51/11.74  (step t750 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.51/11.74  (step t751 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule all_simplify)
% 11.51/11.74  (step t752 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t751 t507))
% 11.51/11.74  (step t753 (cl (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t750 t752 a34))
% 11.51/11.74  (step t754 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t753))
% 11.51/11.74  (step t755 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule reordering :premises (t754))
% 11.51/11.74  (step t756 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (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)))) (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)))) (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 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_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (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))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule resolution :premises (t190 t201 t568 t576 t259 t584 t592 t600 t500 t608 t616 t624 t632 t275 t299 t640 t318 t329 t337 t353 t361 t369 t377 t385 t672 t576 t259 t584 t592 t500 t608 t616 t624 t632 t318 t329 t337 t353 t361 t377 t385 t176 t183 t693 t713 t749 t592 t600 t500 t608 t616 t624 t632 t275 t299 t310 t640 t337 t345 t361 t369 t377 t385 t197 t208 t387 t502 t755))
% 11.51/11.74  (step t757 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (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.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule contraction :premises (t756))
% 11.51/11.74  (step t758 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.51/11.74  (step t759 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t751 t513))
% 11.51/11.74  (step t760 (cl (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t758 t759 a35))
% 11.51/11.74  (step t761 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t760))
% 11.51/11.74  (step t762 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule reordering :premises (t761))
% 11.51/11.74  (step t763 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.51/11.74  (step t764 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t751 t519))
% 11.51/11.74  (step t765 (cl (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t763 t764 a36))
% 11.51/11.74  (step t766 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t765))
% 11.51/11.74  (step t767 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule reordering :premises (t766))
% 11.51/11.74  (step t768 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule equiv_pos2)
% 11.51/11.74  (step t769 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t751 t525))
% 11.51/11.74  (step t770 (cl (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t768 t769 a33))
% 11.51/11.74  (step t771 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule or :premises (t770))
% 11.51/11.74  (step t772 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule reordering :premises (t771))
% 11.51/11.74  (step t773 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule resolution :premises (t757 t762 t767 t772))
% 11.51/11.74  (step t774 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule contraction :premises (t773))
% 11.51/11.74  (step t775 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse 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_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule and_neg)
% 11.51/11.74  (step t776 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.74  (anchor :step t777)
% 11.51/11.74  (assume t777.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.74  (assume t777.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.51/11.74  (assume t777.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.51/11.74  (assume t777.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.74  (assume t777.a4 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.74  (assume t777.a5 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.74  (assume t777.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.51/11.74  (assume t777.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.74  (assume t777.a8 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.74  (assume t777.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.74  (assume t777.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.51/11.74  (assume t777.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.74  (assume t777.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.51/11.74  (assume t777.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.74  (assume t777.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.74  (assume t777.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.74  (assume t777.a16 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.74  (assume t777.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.74  (assume t777.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.74  (assume t777.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.74  (assume t777.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.74  (assume t777.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.74  (assume t777.a22 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.74  (step t777.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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 implies_neg1)
% 11.51/11.75  (anchor :step t777.t2)
% 11.51/11.75  (assume t777.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.75  (assume t777.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.75  (assume t777.t2.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.75  (assume t777.t2.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.75  (assume t777.t2.a4 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.75  (assume t777.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.75  (assume t777.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.75  (assume t777.t2.a7 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.75  (assume t777.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.75  (assume t777.t2.a9 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.75  (assume t777.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t777.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.75  (assume t777.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.75  (assume t777.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t777.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.75  (assume t777.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.75  (assume t777.t2.a16 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.75  (assume t777.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t777.t2.a18 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.51/11.75  (assume t777.t2.a19 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.51/11.75  (assume t777.t2.a20 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.51/11.75  (assume t777.t2.a21 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.51/11.75  (assume t777.t2.a22 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.51/11.75  (step t777.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t777.t2.a2))
% 11.51/11.75  (step t777.t2.t2 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.75  (step t777.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule cong :premises (t777.t2.t1 t777.t2.t2))
% 11.51/11.75  (step t777.t2.t4 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t777.t2.a1 t777.t2.t3))
% 11.51/11.75  (step t777.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t777.t2.t4 t777.t2.t2))
% 11.51/11.75  (step t777.t2.t6 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t777.t2.a10))
% 11.51/11.75  (step t777.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t777.t2.t6))
% 11.51/11.75  (step t777.t2.t8 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t777.t2.t1))
% 11.51/11.75  (step t777.t2.t9 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t777.t2.a9 t777.t2.t2))
% 11.51/11.75  (step t777.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t777.t2.a9))
% 11.51/11.75  (step t777.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule trans :premises (t777.t2.t10 t777.t2.a3))
% 11.51/11.75  (step t777.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule cong :premises (t777.t2.t11 t777.t2.t2))
% 11.51/11.75  (step t777.t2.t13 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t777.t2.a8))
% 11.51/11.75  (step t777.t2.t14 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule symm :premises (t777.t2.t13))
% 11.51/11.75  (step t777.t2.t15 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.75  (step t777.t2.t16 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t777.t2.a7))
% 11.51/11.75  (step t777.t2.t17 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t777.t2.t16))
% 11.51/11.75  (step t777.t2.t18 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule cong :premises (t777.t2.t17 t777.t2.a3))
% 11.51/11.75  (step t777.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t777.t2.a6))
% 11.51/11.75  (step t777.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t777.t2.a5))
% 11.51/11.75  (step t777.t2.t21 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.75  (step t777.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t777.t2.t20 t777.t2.t21))
% 11.51/11.75  (step t777.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t777.t2.a4))
% 11.51/11.75  (step t777.t2.t24 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c2)) :rule trans :premises (t777.t2.t18 t777.t2.t19 t777.t2.t22 t777.t2.t23))
% 11.51/11.75  (step t777.t2.t25 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule cong :premises (t777.t2.t15 t777.t2.t24))
% 11.51/11.75  (step t777.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t777.t2.a3))
% 11.51/11.75  (step t777.t2.t27 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c11)) :rule trans :premises (t777.t2.t9 t777.t2.t12 t777.t2.t14 t777.t2.t25 t777.t2.t26))
% 11.51/11.75  (step t777.t2.t28 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t777.t2.t8 t777.t2.t27))
% 11.51/11.75  (step t777.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t777.t2.a1))
% 11.51/11.75  (step t777.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t777.t2.a22))
% 11.51/11.75  (step t777.t2.t31 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t777.t2.t30))
% 11.51/11.75  (step t777.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t777.t2.a21))
% 11.51/11.75  (step t777.t2.t33 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t777.t2.t32))
% 11.51/11.75  (step t777.t2.t34 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t777.t2.a20))
% 11.51/11.75  (step t777.t2.t35 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t777.t2.a12))
% 11.51/11.75  (step t777.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t777.t2.t35))
% 11.51/11.75  (step t777.t2.t37 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule symm :premises (t777.t2.t4))
% 11.51/11.75  (step t777.t2.t38 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t777.t2.a9 t777.t2.t37))
% 11.51/11.75  (step t777.t2.t39 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.51/11.75  (step t777.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule cong :premises (t777.t2.t10 t777.t2.t39))
% 11.51/11.75  (step t777.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t777.t2.t36 t777.t2.t38 t777.t2.t40))
% 11.51/11.75  (step t777.t2.t42 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t777.t2.t41))
% 11.51/11.75  (step t777.t2.t43 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule refl)
% 11.51/11.75  (step t777.t2.t44 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule symm :premises (t777.t2.t27))
% 11.51/11.75  (step t777.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t777.t2.t43 t777.t2.t44))
% 11.51/11.75  (step t777.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t777.t2.a13))
% 11.51/11.75  (step t777.t2.t47 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule cong :premises (t777.t2.t41 t777.t2.t2))
% 11.51/11.75  (step t777.t2.t48 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule symm :premises (t777.t2.a11))
% 11.51/11.75  (step t777.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t777.t2.t48))
% 11.51/11.75  (step t777.t2.t50 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t777.t2.t2 t777.t2.t10))
% 11.51/11.75  (step t777.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t777.t2.t45 t777.t2.t46 t777.t2.t47 t777.t2.t49 t777.t2.t50 t777.t2.t9 t777.t2.t12 t777.t2.t14 t777.t2.t25 t777.t2.t26 t777.t2.a9 t777.t2.t5 t777.t2.t7 t777.t2.t28 t777.t2.t29))
% 11.51/11.75  (step t777.t2.t52 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) tptp.identity)) :rule trans :premises (t777.t2.t42 t777.t2.t51))
% 11.51/11.75  (step t777.t2.t53 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.51/11.75  (step t777.t2.t54 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t777.t2.t52 t777.t2.t53))
% 11.51/11.75  (step t777.t2.t55 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t777.t2.t54))
% 11.51/11.75  (step t777.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t777.t2.t2 t777.t2.a0))
% 11.51/11.75  (step t777.t2.t57 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t777.t2.t56))
% 11.51/11.75  (step t777.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t777.t2.t26 t777.t2.t53))
% 11.51/11.75  (step t777.t2.t59 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t777.t2.t58))
% 11.51/11.75  (step t777.t2.t60 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t777.t2.a16))
% 11.51/11.75  (step t777.t2.t61 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t777.t2.t60))
% 11.51/11.75  (step t777.t2.t62 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule cong :premises (t777.t2.t15 t777.t2.t61))
% 11.51/11.75  (step t777.t2.t63 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t777.t2.t62))
% 11.51/11.75  (step t777.t2.t64 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t777.t2.t15 t777.t2.t27))
% 11.51/11.75  (step t777.t2.t65 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t777.t2.t64))
% 11.51/11.75  (step t777.t2.t66 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t777.t2.a17))
% 11.51/11.75  (step t777.t2.t67 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t777.t2.a0 t777.t2.t55 t777.t2.a14 t777.t2.t57))
% 11.51/11.75  (step t777.t2.t68 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t777.t2.t59 t777.t2.a15 t777.t2.t63))
% 11.51/11.75  (step t777.t2.t69 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t777.t2.t67 t777.t2.t68))
% 11.51/11.75  (step t777.t2.t70 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t777.t2.t28))
% 11.51/11.75  (step t777.t2.t71 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule symm :premises (t777.t2.t5))
% 11.51/11.75  (step t777.t2.t72 (cl (= tptp.identity tptp.sk_c11)) :rule trans :premises (t777.t2.a1 t777.t2.t70 t777.t2.t6 t777.t2.t71 t777.t2.t10))
% 11.51/11.75  (step t777.t2.t73 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t777.t2.t69 t777.t2.t72))
% 11.51/11.75  (step t777.t2.t74 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule symm :premises (t777.t2.t73))
% 11.51/11.75  (step t777.t2.t75 (cl (= tptp.sk_c11 tptp.identity)) :rule symm :premises (t777.t2.t72))
% 11.51/11.75  (step t777.t2.t76 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t777.t2.t1 t777.t2.t75))
% 11.51/11.75  (step t777.t2.t77 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t777.t2.t76))
% 11.51/11.75  (step t777.t2.t78 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t777.t2.t34 t777.t2.a0 t777.t2.t55 t777.t2.a14 t777.t2.t57 t777.t2.t59 t777.t2.a15 t777.t2.t63 t777.t2.t65 t777.t2.t66 t777.t2.t74 t777.t2.t77 t777.t2.t29))
% 11.51/11.75  (step t777.t2.t79 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.51/11.75  (step t777.t2.t80 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t777.t2.t78 t777.t2.t79))
% 11.51/11.75  (step t777.t2.t81 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t777.t2.a19))
% 11.51/11.75  (step t777.t2.t82 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t777.t2.t33 t777.t2.t80 t777.t2.t81))
% 11.51/11.75  (step t777.t2.t83 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c11))) :rule cong :premises (t777.t2.t82 t777.t2.t72))
% 11.51/11.75  (step t777.t2.t84 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t777.t2.t66))
% 11.51/11.75  (step t777.t2.t85 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t777.t2.a15))
% 11.51/11.75  (step t777.t2.t86 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t777.t2.a14))
% 11.51/11.75  (step t777.t2.t87 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t777.t2.a0))
% 11.51/11.75  (step t777.t2.t88 (cl (= tptp.sk_c11 tptp.sk_c10)) :rule trans :premises (t777.t2.a9 t777.t2.t5 t777.t2.t7 t777.t2.t28 t777.t2.t76 t777.t2.t73 t777.t2.t84 t777.t2.t64 t777.t2.t62 t777.t2.t85 t777.t2.t58 t777.t2.t56 t777.t2.t86 t777.t2.t54 t777.t2.t87))
% 11.51/11.75  (step t777.t2.t89 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c11) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t777.t2.t79 t777.t2.t88))
% 11.51/11.75  (step t777.t2.t90 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t777.t2.a18))
% 11.51/11.75  (step t777.t2.t91 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t777.t2.t31 t777.t2.t83 t777.t2.t89 t777.t2.t90))
% 11.51/11.75  (step t777.t2.t92 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c9 tptp.sk_c11))) :rule cong :premises (t777.t2.t91 t777.t2.t72))
% 11.51/11.75  (step t777.t2.t93 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.51/11.75  (step t777.t2.t94 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c11) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule cong :premises (t777.t2.t93 t777.t2.t88))
% 11.51/11.75  (step t777.t2.t95 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule trans :premises (t777.t2.a9 t777.t2.t5 t777.t2.t7 t777.t2.t28 t777.t2.t29 t777.t2.t31 t777.t2.t92 t777.t2.t94))
% 11.51/11.75  (step t777.t2 (cl (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (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.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule subproof :discharge (t777.t2.a0 t777.t2.a1 t777.t2.a2 t777.t2.a3 t777.t2.a4 t777.t2.a5 t777.t2.a6 t777.t2.a7 t777.t2.a8 t777.t2.a9 t777.t2.a10 t777.t2.a11 t777.t2.a12 t777.t2.a13 t777.t2.a14 t777.t2.a15 t777.t2.a16 t777.t2.a17 t777.t2.a18 t777.t2.a19 t777.t2.a20 t777.t2.a21 t777.t2.a22))
% 11.51/11.75  (step t777.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t777.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t777.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t777.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t777.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t777.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t777.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.75  (step t777.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t777.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t777.t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t777.t13 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t777.t14 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t777.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t777.t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t777.t17 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t777.t18 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t777.t19 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t777.t20 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t777.t21 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t777.t22 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.51/11.75  (step t777.t23 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.51/11.75  (step t777.t24 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.51/11.75  (step t777.t25 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.51/11.75  (step t777.t26 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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 resolution :premises (t777.t2 t777.t3 t777.t4 t777.t5 t777.t6 t777.t7 t777.t8 t777.t9 t777.t10 t777.t11 t777.t12 t777.t13 t777.t14 t777.t15 t777.t16 t777.t17 t777.t18 t777.t19 t777.t20 t777.t21 t777.t22 t777.t23 t777.t24 t777.t25))
% 11.51/11.75  (step t777.t27 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule reordering :premises (t777.t26))
% 11.51/11.75  (step t777.t28 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule contraction :premises (t777.t27))
% 11.51/11.75  (step t777.t29 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t777.t1 t777.t28))
% 11.51/11.75  (step t777.t30 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule implies_neg2)
% 11.51/11.75  (step t777.t31 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule resolution :premises (t777.t29 t777.t30))
% 11.51/11.75  (step t777.t32 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule contraction :premises (t777.t31))
% 11.51/11.75  (step t777.t33 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule implies :premises (t777.t32))
% 11.51/11.75  (step t777.t34 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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))) (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (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.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 11.51/11.75  (step t777.t35 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (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 resolution :premises (t777.t34 t777.a8 t777.a9 t777.a0 t777.a3 t777.a16 t777.a17 t777.a18 t777.a4 t777.a19 t777.a7 t777.a21 t777.a11 t777.a14 t777.a22 t777.a13 t777.a15 t777.a5 t777.a20 t777.a1 t777.a10 t777.a2 t777.a12 t777.a6))
% 11.51/11.75  (step t777.t36 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t777.t33 t777.t35))
% 11.51/11.75  (step t777 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule subproof :discharge (t777.a0 t777.a1 t777.a2 t777.a3 t777.a4 t777.a5 t777.a6 t777.a7 t777.a8 t777.a9 t777.a10 t777.a11 t777.a12 t777.a13 t777.a14 t777.a15 t777.a16 t777.a17 t777.a18 t777.a19 t777.a20 t777.a21 t777.a22))
% 11.51/11.75  (step t778 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t779 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t780 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.51/11.75  (step t781 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t782 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t783 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t784 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.51/11.75  (step t785 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t786 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t787 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t788 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.51/11.75  (step t789 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t790 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.51/11.75  (step t791 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t792 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t793 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t794 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t795 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t796 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.75  (step t797 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t798 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t799 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t800 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t801 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t777 t778 t779 t780 t781 t782 t783 t784 t785 t786 t787 t788 t789 t790 t791 t792 t793 t794 t795 t796 t797 t798 t799 t800))
% 11.51/11.75  (step t802 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule reordering :premises (t801))
% 11.51/11.75  (step t803 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule contraction :premises (t802))
% 11.51/11.75  (step t804 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t776 t803))
% 11.51/11.75  (step t805 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule implies_neg2)
% 11.51/11.75  (step t806 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule resolution :premises (t804 t805))
% 11.51/11.75  (step t807 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule contraction :premises (t806))
% 11.51/11.75  (step t808 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_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_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule implies :premises (t807))
% 11.51/11.75  (step t809 (cl (not (= tptp.sk_c10 (tptp.inverse 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_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t775 t808))
% 11.51/11.75  (step t810 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse 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_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule reordering :premises (t809))
% 11.51/11.75  (step t811 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t812)
% 11.51/11.75  (assume t812.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.51/11.75  (step t812.t1 (cl (or (not (forall ((X $$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_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c11) (:= Z tptp.sk_c11)))
% 11.51/11.75  (step t812.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule or :premises (t812.t1))
% 11.51/11.75  (step t812.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule resolution :premises (t812.t2 t812.a0))
% 11.51/11.75  (step t812 (cl (not (forall ((X $$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_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule subproof :discharge (t812.a0))
% 11.51/11.75  (step t813 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule resolution :premises (t811 t812))
% 11.51/11.75  (step t814 (cl (=> (forall ((X $$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_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg2)
% 11.51/11.75  (step t815 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule resolution :premises (t813 t814))
% 11.51/11.75  (step t816 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule contraction :premises (t815))
% 11.51/11.75  (step t817 (cl (not (forall ((X $$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_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule implies :premises (t816))
% 11.51/11.75  (step t818 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule resolution :premises (t817 a2))
% 11.51/11.75  (step t819 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t820)
% 11.51/11.75  (assume t820.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.51/11.75  (step t820.t1 (cl (or (not (forall ((X $$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_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c2) (:= Z tptp.sk_c10)))
% 11.51/11.75  (step t820.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule or :premises (t820.t1))
% 11.51/11.75  (step t820.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t820.t2 t820.a0))
% 11.51/11.75  (step t820 (cl (not (forall ((X $$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_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule subproof :discharge (t820.a0))
% 11.51/11.75  (step t821 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t819 t820))
% 11.51/11.75  (step t822 (cl (=> (forall ((X $$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_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule implies_neg2)
% 11.51/11.75  (step t823 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (=> (forall ((X $$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_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule resolution :premises (t821 t822))
% 11.51/11.75  (step t824 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule contraction :premises (t823))
% 11.51/11.75  (step t825 (cl (not (forall ((X $$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_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule implies :premises (t824))
% 11.51/11.75  (step t826 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t825 a2))
% 11.51/11.75  (step t827 (cl (not (= (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.51/11.75  (step t828 (cl (= (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule all_simplify)
% 11.51/11.75  (step t829 (cl (= (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t828 t519))
% 11.51/11.75  (step t830 (cl (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t827 t829 a46))
% 11.51/11.75  (step t831 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t830))
% 11.51/11.75  (step t832 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule reordering :premises (t831))
% 11.51/11.75  (step t833 (cl (not (= (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.51/11.75  (step t834 (cl (= (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t828 t513))
% 11.51/11.75  (step t835 (cl (or (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t833 t834 a45))
% 11.51/11.75  (step t836 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t835))
% 11.51/11.75  (step t837 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule reordering :premises (t836))
% 11.51/11.75  (step t838 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t810 t600 t500 t818 t608 t616 t624 t632 t826 t275 t299 t310 t640 t345 t361 t369 t377 t385 t832 t837))
% 11.51/11.75  (step t839 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule contraction :premises (t838))
% 11.51/11.75  (step t840 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule and_neg)
% 11.51/11.75  (step t841 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t842)
% 11.51/11.75  (assume t842.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.75  (assume t842.a1 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.75  (assume t842.a2 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.75  (assume t842.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.75  (assume t842.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))
% 11.51/11.75  (assume t842.a5 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.75  (assume t842.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.75  (assume t842.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.75  (assume t842.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.75  (assume t842.a9 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.51/11.75  (assume t842.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.51/11.75  (assume t842.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.75  (assume t842.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.75  (assume t842.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.75  (assume t842.a14 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.75  (assume t842.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.75  (assume t842.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.75  (assume t842.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.75  (assume t842.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t842.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t842.a20 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t842.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))
% 11.51/11.75  (assume t842.a22 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.51/11.75  (step t842.t1 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t842.t2)
% 11.51/11.75  (assume t842.t2.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.75  (assume t842.t2.a1 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.75  (assume t842.t2.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.75  (assume t842.t2.a3 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.75  (assume t842.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.75  (assume t842.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.75  (assume t842.t2.a6 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.75  (assume t842.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.75  (assume t842.t2.a8 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.75  (assume t842.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t842.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.75  (assume t842.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.75  (assume t842.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t842.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.75  (assume t842.t2.a14 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.75  (assume t842.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.75  (assume t842.t2.a16 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.75  (assume t842.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t842.t2.a18 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.51/11.75  (assume t842.t2.a19 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.51/11.75  (assume t842.t2.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.51/11.75  (assume t842.t2.a21 (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))
% 11.51/11.75  (assume t842.t2.a22 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))
% 11.51/11.75  (step t842.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t842.t2.a1))
% 11.51/11.75  (step t842.t2.t2 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t842.t2.t1))
% 11.51/11.75  (step t842.t2.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.75  (step t842.t2.t4 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t842.t2.a8 t842.t2.t3))
% 11.51/11.75  (step t842.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t842.t2.a8))
% 11.51/11.75  (step t842.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule trans :premises (t842.t2.t5 t842.t2.a2))
% 11.51/11.75  (step t842.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule cong :premises (t842.t2.t6 t842.t2.t3))
% 11.51/11.75  (step t842.t2.t8 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t842.t2.a7))
% 11.51/11.75  (step t842.t2.t9 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule symm :premises (t842.t2.t8))
% 11.51/11.75  (step t842.t2.t10 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.75  (step t842.t2.t11 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t842.t2.a6))
% 11.51/11.75  (step t842.t2.t12 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t842.t2.t11))
% 11.51/11.75  (step t842.t2.t13 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule cong :premises (t842.t2.t12 t842.t2.a2))
% 11.51/11.75  (step t842.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t842.t2.a5))
% 11.51/11.75  (step t842.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t842.t2.a4))
% 11.51/11.75  (step t842.t2.t16 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.75  (step t842.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t842.t2.t15 t842.t2.t16))
% 11.51/11.75  (step t842.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t842.t2.a3))
% 11.51/11.75  (step t842.t2.t19 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c2)) :rule trans :premises (t842.t2.t13 t842.t2.t14 t842.t2.t17 t842.t2.t18))
% 11.51/11.75  (step t842.t2.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule cong :premises (t842.t2.t10 t842.t2.t19))
% 11.51/11.75  (step t842.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t842.t2.a2))
% 11.51/11.75  (step t842.t2.t22 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c11)) :rule trans :premises (t842.t2.t4 t842.t2.t7 t842.t2.t9 t842.t2.t20 t842.t2.t21))
% 11.51/11.75  (step t842.t2.t23 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t842.t2.t2 t842.t2.t22))
% 11.51/11.75  (step t842.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t842.t2.t23))
% 11.51/11.75  (step t842.t2.t25 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t842.t2.a9))
% 11.51/11.75  (step t842.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule cong :premises (t842.t2.t1 t842.t2.t3))
% 11.51/11.75  (step t842.t2.t27 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t842.t2.a0 t842.t2.t26))
% 11.51/11.75  (step t842.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t842.t2.t27 t842.t2.t3))
% 11.51/11.75  (step t842.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule symm :premises (t842.t2.t28))
% 11.51/11.75  (step t842.t2.t30 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t842.t2.a16))
% 11.51/11.75  (step t842.t2.t31 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t842.t2.t30))
% 11.51/11.75  (step t842.t2.t32 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.51/11.75  (step t842.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule cong :premises (t842.t2.t11 t842.t2.t32))
% 11.51/11.75  (step t842.t2.t34 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t842.t2.t33))
% 11.51/11.75  (step t842.t2.t35 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.51/11.75  (step t842.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t842.t2.t25))
% 11.51/11.75  (step t842.t2.t37 (cl (= tptp.identity tptp.sk_c11)) :rule trans :premises (t842.t2.a0 t842.t2.t24 t842.t2.t25 t842.t2.t29 t842.t2.t5))
% 11.51/11.75  (step t842.t2.t38 (cl (= tptp.sk_c11 tptp.identity)) :rule symm :premises (t842.t2.t37))
% 11.51/11.75  (step t842.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t842.t2.t1 t842.t2.t38))
% 11.51/11.75  (step t842.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t842.t2.a14))
% 11.51/11.75  (step t842.t2.t41 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t842.t2.t40))
% 11.51/11.75  (step t842.t2.t42 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t842.t2.a11))
% 11.51/11.75  (step t842.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t842.t2.t42))
% 11.51/11.75  (step t842.t2.t44 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule symm :premises (t842.t2.t27))
% 11.51/11.75  (step t842.t2.t45 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t842.t2.a8 t842.t2.t44))
% 11.51/11.75  (step t842.t2.t46 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.51/11.75  (step t842.t2.t47 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule cong :premises (t842.t2.t5 t842.t2.t46))
% 11.51/11.75  (step t842.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t842.t2.t43 t842.t2.t45 t842.t2.t47))
% 11.51/11.75  (step t842.t2.t49 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t842.t2.t48))
% 11.51/11.75  (step t842.t2.t50 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule refl)
% 11.51/11.75  (step t842.t2.t51 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule symm :premises (t842.t2.t22))
% 11.51/11.75  (step t842.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t842.t2.t50 t842.t2.t51))
% 11.51/11.75  (step t842.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t842.t2.a12))
% 11.51/11.75  (step t842.t2.t54 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule cong :premises (t842.t2.t48 t842.t2.t3))
% 11.51/11.75  (step t842.t2.t55 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule symm :premises (t842.t2.a10))
% 11.51/11.75  (step t842.t2.t56 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t842.t2.t55))
% 11.51/11.75  (step t842.t2.t57 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t842.t2.t3 t842.t2.t5))
% 11.51/11.75  (step t842.t2.t58 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t842.t2.a0))
% 11.51/11.75  (step t842.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t842.t2.t52 t842.t2.t53 t842.t2.t54 t842.t2.t56 t842.t2.t57 t842.t2.t4 t842.t2.t7 t842.t2.t9 t842.t2.t20 t842.t2.t21 t842.t2.a8 t842.t2.t28 t842.t2.t36 t842.t2.t23 t842.t2.t58))
% 11.51/11.75  (step t842.t2.t60 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) tptp.identity)) :rule trans :premises (t842.t2.t49 t842.t2.t59))
% 11.51/11.75  (step t842.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t842.t2.t60 t842.t2.t32))
% 11.51/11.75  (step t842.t2.t62 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t842.t2.t61))
% 11.51/11.75  (step t842.t2.t63 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t842.t2.t3 t842.t2.t41))
% 11.51/11.75  (step t842.t2.t64 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t842.t2.t63))
% 11.51/11.75  (step t842.t2.t65 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t842.t2.t41 t842.t2.t62 t842.t2.a13 t842.t2.t64))
% 11.51/11.75  (step t842.t2.t66 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t842.t2.t21 t842.t2.t32))
% 11.51/11.75  (step t842.t2.t67 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t842.t2.t66))
% 11.51/11.75  (step t842.t2.t68 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule cong :premises (t842.t2.t10 t842.t2.t31))
% 11.51/11.75  (step t842.t2.t69 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t842.t2.t68))
% 11.51/11.75  (step t842.t2.t70 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t842.t2.t67 t842.t2.a15 t842.t2.t69))
% 11.51/11.75  (step t842.t2.t71 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t842.t2.t65 t842.t2.t70))
% 11.51/11.75  (step t842.t2.t72 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t842.t2.t71 t842.t2.t37))
% 11.51/11.75  (step t842.t2.t73 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t842.t2.a17))
% 11.51/11.75  (step t842.t2.t74 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t842.t2.t73))
% 11.51/11.75  (step t842.t2.t75 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t842.t2.t10 t842.t2.t22))
% 11.51/11.75  (step t842.t2.t76 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t842.t2.a15))
% 11.51/11.75  (step t842.t2.t77 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t842.t2.a13))
% 11.51/11.75  (step t842.t2.t78 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10)) :rule trans :premises (t842.t2.t21 t842.t2.a8 t842.t2.t28 t842.t2.t36 t842.t2.t23 t842.t2.t39 t842.t2.t72 t842.t2.t74 t842.t2.t75 t842.t2.t68 t842.t2.t76 t842.t2.t66 t842.t2.t63 t842.t2.t77 t842.t2.t61 t842.t2.t40))
% 11.51/11.75  (step t842.t2.t79 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t842.t2.t35 t842.t2.t78))
% 11.51/11.75  (step t842.t2.t80 (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_c2)))) :rule symm :premises (t842.t2.t79))
% 11.51/11.75  (step t842.t2.t81 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2))) :rule cong :premises (t842.t2.a18 t842.t2.t16))
% 11.51/11.75  (step t842.t2.t82 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2))) :rule symm :premises (t842.t2.a22))
% 11.51/11.75  (step t842.t2.t83 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) :rule symm :premises (t842.t2.t82))
% 11.51/11.75  (step t842.t2.t84 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse tptp.sk_c9))) :rule refl)
% 11.51/11.75  (step t842.t2.t85 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.51/11.75  (step t842.t2.t86 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t842.t2.t17))
% 11.51/11.75  (step t842.t2.t87 (cl (= tptp.sk_c2 tptp.sk_c11)) :rule trans :premises (t842.t2.a3 t842.t2.t86 t842.t2.a5 t842.t2.t79 t842.t2.t33 t842.t2.t30))
% 11.51/11.75  (step t842.t2.t88 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c2) (tptp.multiply tptp.sk_c9 tptp.sk_c11))) :rule cong :premises (t842.t2.t85 t842.t2.t87))
% 11.51/11.75  (step t842.t2.t89 (cl (= tptp.sk_c11 tptp.sk_c10)) :rule trans :premises (t842.t2.a8 t842.t2.t28 t842.t2.t36 t842.t2.t23 t842.t2.t39 t842.t2.t72 t842.t2.t74 t842.t2.t75 t842.t2.t68 t842.t2.t76 t842.t2.t66 t842.t2.t63 t842.t2.t77 t842.t2.t61 t842.t2.t40))
% 11.51/11.75  (step t842.t2.t90 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c11) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule cong :premises (t842.t2.t85 t842.t2.t89))
% 11.51/11.75  (step t842.t2.t91 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t842.t2.a21))
% 11.51/11.75  (step t842.t2.t92 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c2) tptp.sk_c10)) :rule trans :premises (t842.t2.t88 t842.t2.t90 t842.t2.t91 t842.t2.a8 t842.t2.t28 t842.t2.t36 t842.t2.t23 t842.t2.t39 t842.t2.t72 t842.t2.t74 t842.t2.t75 t842.t2.t68 t842.t2.t76 t842.t2.t66 t842.t2.t63 t842.t2.t77 t842.t2.t61 t842.t2.t40))
% 11.51/11.75  (step t842.t2.t93 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10))) :rule cong :premises (t842.t2.t84 t842.t2.t92))
% 11.51/11.75  (step t842.t2.t94 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10))) :rule trans :premises (t842.t2.a0 t842.t2.t24 t842.t2.t25 t842.t2.t29 t842.t2.t5 t842.t2.t31 t842.t2.t34 t842.t2.t80 t842.t2.t14 t842.t2.t17 t842.t2.t81 t842.t2.t83 t842.t2.t93))
% 11.51/11.75  (step t842.t2.t95 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9))) :rule cong :premises (t842.t2.t94 t842.t2.t85))
% 11.51/11.75  (step t842.t2.t96 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t842.t2.a20))
% 11.51/11.75  (step t842.t2.t97 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t842.t2.t96))
% 11.51/11.75  (step t842.t2.t98 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t842.t2.t75))
% 11.51/11.75  (step t842.t2.t99 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule symm :premises (t842.t2.t72))
% 11.51/11.75  (step t842.t2.t100 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t842.t2.t39))
% 11.51/11.75  (step t842.t2.t101 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.identity)) :rule trans :premises (t842.t2.t98 t842.t2.t73 t842.t2.t99 t842.t2.t100 t842.t2.t58))
% 11.51/11.75  (step t842.t2.t102 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t842.t2.t65 t842.t2.t70 t842.t2.t101))
% 11.51/11.75  (step t842.t2.t103 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t842.t2.t102 t842.t2.t85))
% 11.51/11.75  (step t842.t2.t104 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t842.t2.a19))
% 11.51/11.75  (step t842.t2.t105 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) tptp.sk_c9)) :rule trans :premises (t842.t2.t103 t842.t2.t104))
% 11.51/11.75  (step t842.t2.t106 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule cong :premises (t842.t2.t84 t842.t2.t105))
% 11.51/11.75  (step t842.t2.t107 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t842.t2.a18))
% 11.51/11.75  (step t842.t2.t108 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule trans :premises (t842.t2.a19 t842.t2.t95 t842.t2.t97 t842.t2.t106 t842.t2.t107 t842.t2.a0 t842.t2.t39 t842.t2.t72 t842.t2.t74 t842.t2.t75 t842.t2.t68 t842.t2.t76 t842.t2.t66 t842.t2.t63 t842.t2.t77 t842.t2.t61))
% 11.51/11.75  (step t842.t2 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule subproof :discharge (t842.t2.a0 t842.t2.a1 t842.t2.a2 t842.t2.a3 t842.t2.a4 t842.t2.a5 t842.t2.a6 t842.t2.a7 t842.t2.a8 t842.t2.a9 t842.t2.a10 t842.t2.a11 t842.t2.a12 t842.t2.a13 t842.t2.a14 t842.t2.a15 t842.t2.a16 t842.t2.a17 t842.t2.a18 t842.t2.a19 t842.t2.a20 t842.t2.a21 t842.t2.a22))
% 11.51/11.75  (step t842.t3 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t842.t4 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t842.t5 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t842.t6 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t842.t7 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t842.t8 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.75  (step t842.t9 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t842.t10 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t842.t11 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t842.t12 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t842.t13 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t842.t14 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t842.t15 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t842.t16 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t842.t17 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t842.t18 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t842.t19 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t842.t20 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t842.t21 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.51/11.75  (step t842.t22 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.51/11.75  (step t842.t23 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.51/11.75  (step t842.t24 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t842.t25 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.75  (step t842.t26 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))))) :rule resolution :premises (t842.t2 t842.t3 t842.t4 t842.t5 t842.t6 t842.t7 t842.t8 t842.t9 t842.t10 t842.t11 t842.t12 t842.t13 t842.t14 t842.t15 t842.t16 t842.t17 t842.t18 t842.t19 t842.t20 t842.t21 t842.t22 t842.t23 t842.t24 t842.t25))
% 11.51/11.75  (step t842.t27 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule reordering :premises (t842.t26))
% 11.51/11.75  (step t842.t28 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule contraction :premises (t842.t27))
% 11.51/11.75  (step t842.t29 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t842.t1 t842.t28))
% 11.51/11.75  (step t842.t30 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies_neg2)
% 11.51/11.75  (step t842.t31 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t842.t29 t842.t30))
% 11.51/11.75  (step t842.t32 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule contraction :premises (t842.t31))
% 11.51/11.75  (step t842.t33 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule implies :premises (t842.t32))
% 11.51/11.75  (step t842.t34 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) :rule and_neg)
% 11.51/11.75  (step t842.t35 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) :rule resolution :premises (t842.t34 t842.a7 t842.a0 t842.a1 t842.a14 t842.a15 t842.a16 t842.a2 t842.a17 t842.a5 t842.a19 t842.a8 t842.a12 t842.a20 t842.a11 t842.a6 t842.a13 t842.a3 t842.a18 t842.a10 t842.a9 t842.a22 t842.a4 t842.a21))
% 11.51/11.75  (step t842.t36 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t842.t33 t842.t35))
% 11.51/11.75  (step t842 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule subproof :discharge (t842.a0 t842.a1 t842.a2 t842.a3 t842.a4 t842.a5 t842.a6 t842.a7 t842.a8 t842.a9 t842.a10 t842.a11 t842.a12 t842.a13 t842.a14 t842.a15 t842.a16 t842.a17 t842.a18 t842.a19 t842.a20 t842.a21 t842.a22))
% 11.51/11.75  (step t843 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t844 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t845 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t846 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t847 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t848 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t849 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t850 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t851 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t852 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.51/11.75  (step t853 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.51/11.75  (step t854 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t855 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t856 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t857 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t858 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t859 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.75  (step t860 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t861 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t862 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t863 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t864 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.75  (step t865 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.51/11.75  (step t866 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t842 t843 t844 t845 t846 t847 t848 t849 t850 t851 t852 t853 t854 t855 t856 t857 t858 t859 t860 t861 t862 t863 t864 t865))
% 11.51/11.75  (step t867 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule reordering :premises (t866))
% 11.51/11.75  (step t868 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule contraction :premises (t867))
% 11.51/11.75  (step t869 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t841 t868))
% 11.51/11.75  (step t870 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies_neg2)
% 11.51/11.75  (step t871 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t869 t870))
% 11.51/11.75  (step t872 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule contraction :premises (t871))
% 11.51/11.75  (step t873 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= 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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule implies :premises (t872))
% 11.51/11.75  (step t874 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t840 t873))
% 11.51/11.75  (step t875 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (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_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule reordering :premises (t874))
% 11.51/11.75  (step t876 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t877)
% 11.51/11.75  (assume t877.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.51/11.75  (step t877.t1 (cl (or (not (forall ((X $$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_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c9)) (:= Y tptp.sk_c10) (:= Z tptp.sk_c9)))
% 11.51/11.75  (step t877.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule or :premises (t877.t1))
% 11.51/11.75  (step t877.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule resolution :premises (t877.t2 t877.a0))
% 11.51/11.75  (step t877 (cl (not (forall ((X $$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_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule subproof :discharge (t877.a0))
% 11.51/11.75  (step t878 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule resolution :premises (t876 t877))
% 11.51/11.75  (step t879 (cl (=> (forall ((X $$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_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg2)
% 11.51/11.75  (step t880 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule resolution :premises (t878 t879))
% 11.51/11.75  (step t881 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule contraction :premises (t880))
% 11.51/11.75  (step t882 (cl (not (forall ((X $$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_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule implies :premises (t881))
% 11.51/11.75  (step t883 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule resolution :premises (t882 a2))
% 11.51/11.75  (step t884 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t885)
% 11.51/11.75  (assume t885.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.51/11.75  (step t885.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c9)) (:= Y tptp.sk_c9) (:= Z tptp.sk_c2)))
% 11.51/11.75  (step t885.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) :rule or :premises (t885.t1))
% 11.51/11.75  (step t885.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) :rule resolution :premises (t885.t2 t885.a0))
% 11.51/11.75  (step t885 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) :rule subproof :discharge (t885.a0))
% 11.51/11.75  (step t886 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) :rule resolution :premises (t884 t885))
% 11.51/11.75  (step t887 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) :rule implies_neg2)
% 11.51/11.75  (step t888 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) (=> (forall ((X $$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_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) :rule resolution :premises (t886 t887))
% 11.51/11.75  (step t889 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2))))) :rule contraction :premises (t888))
% 11.51/11.75  (step t890 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) :rule implies :premises (t889))
% 11.51/11.75  (step t891 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c2)))) :rule resolution :premises (t890 a2))
% 11.51/11.75  (step t892 (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)
% 11.51/11.75  (anchor :step t893)
% 11.51/11.75  (assume t893.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.51/11.75  (step t893.t1 (cl (or (not (forall ((X $$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)))
% 11.51/11.75  (step t893.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule or :premises (t893.t1))
% 11.51/11.75  (step t893.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule resolution :premises (t893.t2 t893.a0))
% 11.51/11.75  (step t893 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule subproof :discharge (t893.a0))
% 11.51/11.75  (step t894 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule resolution :premises (t892 t893))
% 11.51/11.75  (step t895 (cl (=> (forall ((X $$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)
% 11.51/11.75  (step t896 (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 (t894 t895))
% 11.51/11.75  (step t897 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule contraction :premises (t896))
% 11.51/11.75  (step t898 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule implies :premises (t897))
% 11.51/11.75  (step t899 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule resolution :premises (t898 t309))
% 11.51/11.75  (step t900 (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)
% 11.51/11.75  (anchor :step t901)
% 11.51/11.75  (assume t901.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.51/11.75  (step t901.t1 (cl (or (not (forall ((X $$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)))
% 11.51/11.75  (step t901.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule or :premises (t901.t1))
% 11.51/11.75  (step t901.t3 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t901.t2 t901.a0))
% 11.51/11.75  (step t901 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule subproof :discharge (t901.a0))
% 11.51/11.75  (step t902 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t900 t901))
% 11.51/11.75  (step t903 (cl (=> (forall ((X $$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)
% 11.51/11.75  (step t904 (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 (t902 t903))
% 11.51/11.75  (step t905 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule contraction :premises (t904))
% 11.51/11.75  (step t906 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule implies :premises (t905))
% 11.51/11.75  (step t907 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t906 t328))
% 11.51/11.75  (step t908 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule or_pos)
% 11.51/11.75  (step t909 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity)))))) :rule reordering :premises (t908))
% 11.51/11.75  (step t910 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t911)
% 11.51/11.75  (assume t911.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))
% 11.51/11.75  (step t911.t1 (cl (or (not (forall ((X2 $$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.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity)))))) :rule forall_inst :args ((:= X2 tptp.identity)))
% 11.51/11.75  (step t911.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))))) :rule or :premises (t911.t1))
% 11.51/11.75  (step t911.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))))) :rule resolution :premises (t911.t2 t911.a0))
% 11.51/11.75  (step t911 (cl (not (forall ((X2 $$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.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))))) :rule subproof :discharge (t911.a0))
% 11.51/11.75  (step t912 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))))) :rule resolution :premises (t910 t911))
% 11.51/11.75  (step t913 (cl (=> (forall ((X2 $$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.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity)))))) :rule implies_neg2)
% 11.51/11.75  (step t914 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))))) (=> (forall ((X2 $$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.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity)))))) :rule resolution :premises (t912 t913))
% 11.51/11.75  (step t915 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity)))))) :rule contraction :premises (t914))
% 11.51/11.75  (step t916 (cl (not (forall ((X2 $$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.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))))) :rule implies :premises (t915))
% 11.51/11.75  (step t917 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (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)
% 11.51/11.75  (anchor :step t918)
% 11.51/11.75  (assume t918.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)))))))
% 11.51/11.75  (step t918.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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))))) :rule forall_inst :args ((:= X5 tptp.sk_c1) (:= X7 tptp.sk_c11)))
% 11.51/11.75  (step t918.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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule or :premises (t918.t1))
% 11.51/11.75  (step t918.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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t918.t2 t918.a0))
% 11.51/11.75  (step t918 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule subproof :discharge (t918.a0))
% 11.51/11.75  (step t919 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t917 t918))
% 11.51/11.75  (step t920 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))))) :rule implies_neg2)
% 11.51/11.75  (step t921 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))))) :rule resolution :premises (t919 t920))
% 11.51/11.75  (step t922 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))))) :rule contraction :premises (t921))
% 11.51/11.75  (step t923 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule implies :premises (t922))
% 11.51/11.75  (step t924 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply 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.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule or_pos)
% 11.51/11.75  (step t925 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (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_c11)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))))) :rule reordering :premises (t924))
% 11.51/11.75  (step t926 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule and_neg)
% 11.51/11.75  (step t927 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t928)
% 11.51/11.75  (assume t928.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.75  (assume t928.a1 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.75  (assume t928.a2 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.75  (assume t928.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.75  (assume t928.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.51/11.75  (assume t928.a5 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.75  (assume t928.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.75  (assume t928.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.75  (assume t928.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.75  (assume t928.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.75  (assume t928.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.75  (assume t928.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.75  (assume t928.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.75  (assume t928.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.75  (assume t928.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.75  (assume t928.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.75  (assume t928.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t928.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t928.a18 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (step t928.t1 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t928.t2)
% 11.51/11.75  (assume t928.t2.a0 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.75  (assume t928.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.75  (assume t928.t2.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.75  (assume t928.t2.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t928.t2.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.75  (assume t928.t2.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.75  (assume t928.t2.a6 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.75  (assume t928.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.75  (assume t928.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.75  (assume t928.t2.a9 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.75  (assume t928.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.75  (assume t928.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.75  (assume t928.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.75  (assume t928.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t928.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.75  (assume t928.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.75  (assume t928.t2.a16 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.75  (assume t928.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t928.t2.a18 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.51/11.75  (step t928.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t928.t2.a2))
% 11.51/11.75  (step t928.t2.t2 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t928.t2.a12))
% 11.51/11.75  (step t928.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t928.t2.t2))
% 11.51/11.75  (step t928.t2.t4 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t928.t2.t1))
% 11.51/11.75  (step t928.t2.t5 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.75  (step t928.t2.t6 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t928.t2.t4 t928.t2.t5))
% 11.51/11.75  (step t928.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t928.t2.a1))
% 11.51/11.75  (step t928.t2.t8 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule trans :premises (t928.t2.t6 t928.t2.t7))
% 11.51/11.75  (step t928.t2.t9 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t928.t2.a0 t928.t2.t8))
% 11.51/11.75  (step t928.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t928.t2.a0))
% 11.51/11.75  (step t928.t2.t11 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.51/11.75  (step t928.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule cong :premises (t928.t2.t10 t928.t2.t11))
% 11.51/11.75  (step t928.t2.t13 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t928.t2.t3 t928.t2.t9 t928.t2.t12))
% 11.51/11.75  (step t928.t2.t14 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t928.t2.t13))
% 11.51/11.75  (step t928.t2.t15 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule refl)
% 11.51/11.75  (step t928.t2.t16 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t928.t2.a4))
% 11.51/11.75  (step t928.t2.t17 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule symm :premises (t928.t2.t16))
% 11.51/11.75  (step t928.t2.t18 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.75  (step t928.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t928.t2.a8))
% 11.51/11.75  (step t928.t2.t20 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.75  (step t928.t2.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t928.t2.t19 t928.t2.t20))
% 11.51/11.75  (step t928.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t928.t2.t21))
% 11.51/11.75  (step t928.t2.t23 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t928.t2.a6))
% 11.51/11.75  (step t928.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule cong :premises (t928.t2.t23 t928.t2.t16))
% 11.51/11.75  (step t928.t2.t25 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t928.t2.a9 t928.t2.t22 t928.t2.a7 t928.t2.t24))
% 11.51/11.75  (step t928.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t928.t2.t18 t928.t2.t25))
% 11.51/11.75  (step t928.t2.t27 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t928.t2.a5))
% 11.51/11.75  (step t928.t2.t28 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c11))) :rule trans :premises (t928.t2.t16 t928.t2.a0))
% 11.51/11.75  (step t928.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t928.t2.t28 t928.t2.t5))
% 11.51/11.75  (step t928.t2.t30 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t928.t2.t10 t928.t2.t5))
% 11.51/11.75  (step t928.t2.t31 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule trans :premises (t928.t2.t17 t928.t2.t26 t928.t2.t27 t928.t2.t29 t928.t2.t30))
% 11.51/11.75  (step t928.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t928.t2.t15 t928.t2.t31))
% 11.51/11.75  (step t928.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t928.t2.a13))
% 11.51/11.75  (step t928.t2.t34 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule cong :premises (t928.t2.t13 t928.t2.t5))
% 11.51/11.75  (step t928.t2.t35 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule symm :premises (t928.t2.a11))
% 11.51/11.75  (step t928.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t928.t2.t35))
% 11.51/11.75  (step t928.t2.t37 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t928.t2.t5 t928.t2.t10))
% 11.51/11.75  (step t928.t2.t38 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t928.t2.t30))
% 11.51/11.75  (step t928.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t928.t2.t29))
% 11.51/11.75  (step t928.t2.t40 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule symm :premises (t928.t2.t26))
% 11.51/11.75  (step t928.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t928.t2.t8 t928.t2.t5))
% 11.51/11.75  (step t928.t2.t42 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t928.t2.t41))
% 11.51/11.75  (step t928.t2.t43 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t928.t2.t1 t928.t2.t31))
% 11.51/11.75  (step t928.t2.t44 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t928.t2.t43))
% 11.51/11.75  (step t928.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t928.t2.t32 t928.t2.t33 t928.t2.t34 t928.t2.t36 t928.t2.t37 t928.t2.t38 t928.t2.t39 t928.t2.a5 t928.t2.t40 t928.t2.t16 t928.t2.a0 t928.t2.t42 t928.t2.a3 t928.t2.t44 t928.t2.t7))
% 11.51/11.75  (step t928.t2.t46 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) tptp.identity)) :rule trans :premises (t928.t2.t14 t928.t2.t45))
% 11.51/11.75  (step t928.t2.t47 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.51/11.75  (step t928.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t928.t2.t46 t928.t2.t47))
% 11.51/11.75  (step t928.t2.t49 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t928.t2.t48))
% 11.51/11.75  (step t928.t2.t50 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t928.t2.t5 t928.t2.a10))
% 11.51/11.75  (step t928.t2.t51 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t928.t2.t50))
% 11.51/11.75  (step t928.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t928.t2.t16 t928.t2.t47))
% 11.51/11.75  (step t928.t2.t53 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t928.t2.t52))
% 11.51/11.75  (step t928.t2.t54 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t928.t2.a16))
% 11.51/11.75  (step t928.t2.t55 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t928.t2.t54))
% 11.51/11.75  (step t928.t2.t56 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule cong :premises (t928.t2.t18 t928.t2.t55))
% 11.51/11.75  (step t928.t2.t57 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t928.t2.t56))
% 11.51/11.75  (step t928.t2.t58 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t928.t2.t18 t928.t2.t31))
% 11.51/11.75  (step t928.t2.t59 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t928.t2.a17))
% 11.51/11.75  (step t928.t2.t60 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t928.t2.a15))
% 11.51/11.75  (step t928.t2.t61 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t928.t2.t56 t928.t2.t60 t928.t2.t52))
% 11.51/11.75  (step t928.t2.t62 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t928.t2.a14))
% 11.51/11.75  (step t928.t2.t63 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t928.t2.a10))
% 11.51/11.75  (step t928.t2.t64 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t928.t2.t50 t928.t2.t62 t928.t2.t48 t928.t2.t63))
% 11.51/11.75  (step t928.t2.t65 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule trans :premises (t928.t2.t61 t928.t2.t64))
% 11.51/11.75  (step t928.t2.t66 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t928.t2.a3))
% 11.51/11.75  (step t928.t2.t67 (cl (= tptp.identity tptp.sk_c11)) :rule trans :premises (t928.t2.a1 t928.t2.t43 t928.t2.t66 t928.t2.t41 t928.t2.t10))
% 11.51/11.75  (step t928.t2.t68 (cl (= tptp.sk_c11 tptp.identity)) :rule symm :premises (t928.t2.t67))
% 11.51/11.75  (step t928.t2.t69 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t928.t2.t65 t928.t2.t68))
% 11.51/11.75  (step t928.t2.t70 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t928.t2.t4 t928.t2.t67))
% 11.51/11.75  (step t928.t2.t71 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t928.t2.a18))
% 11.51/11.75  (step t928.t2.t72 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t928.t2.t71))
% 11.51/11.75  (step t928.t2.t73 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t928.t2.t23))
% 11.51/11.75  (step t928.t2.t74 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t928.t2.t73 t928.t2.t47))
% 11.51/11.75  (step t928.t2.t75 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.51/11.75  (step t928.t2.t76 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule trans :premises (t928.t2.a10 t928.t2.t49 t928.t2.a14 t928.t2.t51 t928.t2.t53 t928.t2.a15 t928.t2.t57 t928.t2.t58 t928.t2.t59 t928.t2.t69 t928.t2.t70 t928.t2.t43 t928.t2.t66 t928.t2.t41 t928.t2.t10 t928.t2.t17))
% 11.51/11.75  (step t928.t2.t77 (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_c2)))) :rule cong :premises (t928.t2.t75 t928.t2.t76))
% 11.51/11.75  (step t928.t2.t78 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t928.t2.a7))
% 11.51/11.75  (step t928.t2.t79 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t928.t2.a9))
% 11.51/11.75  (step t928.t2.t80 (cl (= tptp.identity (tptp.inverse tptp.sk_c1))) :rule trans :premises (t928.t2.a1 t928.t2.t43 t928.t2.t66 t928.t2.t41 t928.t2.t10 t928.t2.t55 t928.t2.t74 t928.t2.t77 t928.t2.t78 t928.t2.t21 t928.t2.t79 t928.t2.t73))
% 11.51/11.75  (step t928.t2.t81 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t928.t2.t67 t928.t2.t80))
% 11.51/11.75  (step t928.t2.t82 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t928.t2.t1 t928.t2.a10 t928.t2.t49 t928.t2.a14 t928.t2.t51 t928.t2.t53 t928.t2.a15 t928.t2.t57 t928.t2.t58 t928.t2.t59 t928.t2.t69 t928.t2.t70 t928.t2.t7 t928.t2.t72 t928.t2.t81))
% 11.51/11.75  (step t928.t2 (cl (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t928.t2.a0 t928.t2.a1 t928.t2.a2 t928.t2.a3 t928.t2.a4 t928.t2.a5 t928.t2.a6 t928.t2.a7 t928.t2.a8 t928.t2.a9 t928.t2.a10 t928.t2.a11 t928.t2.a12 t928.t2.a13 t928.t2.a14 t928.t2.a15 t928.t2.a16 t928.t2.a17 t928.t2.a18))
% 11.51/11.75  (step t928.t3 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t928.t4 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t928.t5 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t928.t6 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t928.t7 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t928.t8 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t928.t9 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t928.t10 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.75  (step t928.t11 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 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)
% 11.51/11.75  (step t928.t12 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t928.t13 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t928.t14 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t928.t15 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t928.t16 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t928.t17 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t928.t18 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t928.t19 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t928.t20 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t928.t21 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.51/11.75  (step t928.t22 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t928.t2 t928.t3 t928.t4 t928.t5 t928.t6 t928.t7 t928.t8 t928.t9 t928.t10 t928.t11 t928.t12 t928.t13 t928.t14 t928.t15 t928.t16 t928.t17 t928.t18 t928.t19 t928.t20 t928.t21))
% 11.51/11.75  (step t928.t23 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t928.t22))
% 11.51/11.75  (step t928.t24 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t928.t23))
% 11.51/11.75  (step t928.t25 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t928.t1 t928.t24))
% 11.51/11.75  (step t928.t26 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.51/11.75  (step t928.t27 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t928.t25 t928.t26))
% 11.51/11.75  (step t928.t28 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t928.t27))
% 11.51/11.75  (step t928.t29 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t928.t28))
% 11.51/11.75  (step t928.t30 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= 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_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 11.51/11.75  (step t928.t31 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t928.t30 t928.a5 t928.a7 t928.a0 t928.a17 t928.a1 t928.a15 t928.a2 t928.a14 t928.a13 t928.a12 t928.a6 t928.a8 t928.a10 t928.a18 t928.a9 t928.a11 t928.a3 t928.a16 t928.a4))
% 11.51/11.75  (step t928.t32 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t928.t29 t928.t31))
% 11.51/11.75  (step t928 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t928.a0 t928.a1 t928.a2 t928.a3 t928.a4 t928.a5 t928.a6 t928.a7 t928.a8 t928.a9 t928.a10 t928.a11 t928.a12 t928.a13 t928.a14 t928.a15 t928.a16 t928.a17 t928.a18))
% 11.51/11.75  (step t929 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t930 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t931 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t932 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t933 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.51/11.75  (step t934 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t935 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.75  (step t936 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.75  (step t937 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t938 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t939 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t940 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.75  (step t941 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.75  (step t942 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.75  (step t943 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.75  (step t944 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t945 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t946 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t947 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.75  (step t948 (cl (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t928 t929 t930 t931 t932 t933 t934 t935 t936 t937 t938 t939 t940 t941 t942 t943 t944 t945 t946 t947))
% 11.51/11.75  (step t949 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t948))
% 11.51/11.75  (step t950 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t949))
% 11.51/11.75  (step t951 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t927 t950))
% 11.51/11.75  (step t952 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.51/11.75  (step t953 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t951 t952))
% 11.51/11.75  (step t954 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t953))
% 11.51/11.75  (step t955 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t954))
% 11.51/11.75  (step t956 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t926 t955))
% 11.51/11.75  (step t957 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule and_neg)
% 11.51/11.75  (step t958 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t959)
% 11.51/11.75  (assume t959.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.75  (assume t959.a1 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.75  (assume t959.a2 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.75  (assume t959.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.75  (assume t959.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.75  (assume t959.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.75  (assume t959.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.75  (assume t959.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.75  (assume t959.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.75  (assume t959.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.75  (assume t959.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.75  (assume t959.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.75  (assume t959.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.75  (assume t959.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.75  (assume t959.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.75  (assume t959.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t959.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t959.a17 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (step t959.t1 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.75  (anchor :step t959.t2)
% 11.51/11.75  (assume t959.t2.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.75  (assume t959.t2.a1 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.75  (assume t959.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.75  (assume t959.t2.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.75  (assume t959.t2.a4 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.75  (assume t959.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.75  (assume t959.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.75  (assume t959.t2.a7 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.75  (assume t959.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.75  (assume t959.t2.a9 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.75  (assume t959.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t959.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.75  (assume t959.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.75  (assume t959.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (assume t959.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.75  (assume t959.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.75  (assume t959.t2.a16 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.75  (assume t959.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.75  (step t959.t2.t1 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t959.t2.a7))
% 11.51/11.75  (step t959.t2.t2 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t959.t2.a5))
% 11.51/11.75  (step t959.t2.t3 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.75  (step t959.t2.t4 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t959.t2.t2 t959.t2.t3))
% 11.51/11.75  (step t959.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t959.t2.t4))
% 11.51/11.75  (step t959.t2.t6 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.51/11.75  (step t959.t2.t7 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t959.t2.a3))
% 11.51/11.75  (step t959.t2.t8 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule symm :premises (t959.t2.t7))
% 11.51/11.75  (step t959.t2.t9 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t959.t2.t8))
% 11.51/11.75  (step t959.t2.t10 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t959.t2.a0))
% 11.51/11.75  (step t959.t2.t11 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.75  (step t959.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule cong :premises (t959.t2.t10 t959.t2.t11))
% 11.51/11.75  (step t959.t2.t13 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t959.t2.a2 t959.t2.t12))
% 11.51/11.75  (step t959.t2.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t959.t2.t13 t959.t2.t11))
% 11.51/11.75  (step t959.t2.t15 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t959.t2.a10))
% 11.51/11.75  (step t959.t2.t16 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t959.t2.t15))
% 11.51/11.75  (step t959.t2.t17 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t959.t2.t10))
% 11.51/11.75  (step t959.t2.t18 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t959.t2.a9 t959.t2.t11))
% 11.51/11.75  (step t959.t2.t19 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t959.t2.a9))
% 11.51/11.75  (step t959.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule trans :premises (t959.t2.t19 t959.t2.t8))
% 11.51/11.75  (step t959.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule cong :premises (t959.t2.t20 t959.t2.t11))
% 11.51/11.75  (step t959.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t959.t2.a8))
% 11.51/11.75  (step t959.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule symm :premises (t959.t2.t22))
% 11.51/11.75  (step t959.t2.t24 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.75  (step t959.t2.t25 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t959.t2.t1))
% 11.51/11.75  (step t959.t2.t26 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule cong :premises (t959.t2.t25 t959.t2.t8))
% 11.51/11.75  (step t959.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t959.t2.a6))
% 11.51/11.75  (step t959.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t959.t2.a4))
% 11.51/11.75  (step t959.t2.t29 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c2)) :rule trans :premises (t959.t2.t26 t959.t2.t27 t959.t2.t4 t959.t2.t28))
% 11.51/11.75  (step t959.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule cong :premises (t959.t2.t24 t959.t2.t29))
% 11.51/11.75  (step t959.t2.t31 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c11)) :rule trans :premises (t959.t2.t18 t959.t2.t21 t959.t2.t23 t959.t2.t30 t959.t2.t9))
% 11.51/11.75  (step t959.t2.t32 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t959.t2.t17 t959.t2.t31))
% 11.51/11.75  (step t959.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t959.t2.t32))
% 11.51/11.75  (step t959.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule symm :premises (t959.t2.t14))
% 11.51/11.75  (step t959.t2.t35 (cl (= tptp.identity tptp.sk_c11)) :rule trans :premises (t959.t2.a2 t959.t2.t33 t959.t2.t15 t959.t2.t34 t959.t2.t19))
% 11.51/11.75  (step t959.t2.t36 (cl (= tptp.sk_c11 tptp.identity)) :rule symm :premises (t959.t2.t35))
% 11.51/11.75  (step t959.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t959.t2.t10 t959.t2.t36))
% 11.51/11.75  (step t959.t2.t38 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t959.t2.a12))
% 11.51/11.75  (step t959.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t959.t2.t38))
% 11.51/11.75  (step t959.t2.t40 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule symm :premises (t959.t2.t13))
% 11.51/11.75  (step t959.t2.t41 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t959.t2.a9 t959.t2.t40))
% 11.51/11.75  (step t959.t2.t42 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.51/11.75  (step t959.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule cong :premises (t959.t2.t19 t959.t2.t42))
% 11.51/11.75  (step t959.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t959.t2.t39 t959.t2.t41 t959.t2.t43))
% 11.51/11.75  (step t959.t2.t45 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t959.t2.t44))
% 11.51/11.75  (step t959.t2.t46 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule refl)
% 11.51/11.75  (step t959.t2.t47 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule symm :premises (t959.t2.t31))
% 11.51/11.75  (step t959.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t959.t2.t46 t959.t2.t47))
% 11.51/11.75  (step t959.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t959.t2.a13))
% 11.51/11.76  (step t959.t2.t50 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule cong :premises (t959.t2.t44 t959.t2.t11))
% 11.51/11.76  (step t959.t2.t51 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule symm :premises (t959.t2.a11))
% 11.51/11.76  (step t959.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t959.t2.t51))
% 11.51/11.76  (step t959.t2.t53 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t959.t2.t11 t959.t2.t19))
% 11.51/11.76  (step t959.t2.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t959.t2.a2))
% 11.51/11.76  (step t959.t2.t55 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t959.t2.t48 t959.t2.t49 t959.t2.t50 t959.t2.t52 t959.t2.t53 t959.t2.t18 t959.t2.t21 t959.t2.t23 t959.t2.t30 t959.t2.t9 t959.t2.a9 t959.t2.t14 t959.t2.t16 t959.t2.t32 t959.t2.t54))
% 11.51/11.76  (step t959.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) tptp.identity)) :rule trans :premises (t959.t2.t45 t959.t2.t55))
% 11.51/11.76  (step t959.t2.t57 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.51/11.76  (step t959.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t959.t2.t56 t959.t2.t57))
% 11.51/11.76  (step t959.t2.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t959.t2.t58))
% 11.51/11.76  (step t959.t2.t60 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t959.t2.t11 t959.t2.a1))
% 11.51/11.76  (step t959.t2.t61 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t959.t2.t60))
% 11.51/11.76  (step t959.t2.t62 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t959.t2.a1 t959.t2.t59 t959.t2.a14 t959.t2.t61))
% 11.51/11.76  (step t959.t2.t63 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t959.t2.t9 t959.t2.t57))
% 11.51/11.76  (step t959.t2.t64 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t959.t2.t63))
% 11.51/11.76  (step t959.t2.t65 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t959.t2.a16))
% 11.51/11.76  (step t959.t2.t66 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t959.t2.t65))
% 11.51/11.76  (step t959.t2.t67 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule cong :premises (t959.t2.t24 t959.t2.t66))
% 11.51/11.76  (step t959.t2.t68 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t959.t2.t67))
% 11.51/11.76  (step t959.t2.t69 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t959.t2.t64 t959.t2.a15 t959.t2.t68))
% 11.51/11.76  (step t959.t2.t70 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t959.t2.t62 t959.t2.t69))
% 11.51/11.76  (step t959.t2.t71 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t959.t2.t70 t959.t2.t35))
% 11.51/11.76  (step t959.t2.t72 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t959.t2.a17))
% 11.51/11.76  (step t959.t2.t73 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t959.t2.t72))
% 11.51/11.76  (step t959.t2.t74 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t959.t2.t24 t959.t2.t31))
% 11.51/11.76  (step t959.t2.t75 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t959.t2.a15))
% 11.51/11.76  (step t959.t2.t76 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t959.t2.a14))
% 11.51/11.76  (step t959.t2.t77 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t959.t2.a1))
% 11.51/11.76  (step t959.t2.t78 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10)) :rule trans :premises (t959.t2.t9 t959.t2.a9 t959.t2.t14 t959.t2.t16 t959.t2.t32 t959.t2.t37 t959.t2.t71 t959.t2.t73 t959.t2.t74 t959.t2.t67 t959.t2.t75 t959.t2.t63 t959.t2.t60 t959.t2.t76 t959.t2.t58 t959.t2.t77))
% 11.51/11.76  (step t959.t2.t79 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t959.t2.t6 t959.t2.t78))
% 11.51/11.76  (step t959.t2.t80 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule cong :premises (t959.t2.t1 t959.t2.t57))
% 11.51/11.76  (step t959.t2.t81 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.identity))) :rule cong :premises (t959.t2.t36))
% 11.51/11.76  (step t959.t2.t82 (cl (= tptp.identity (tptp.inverse tptp.sk_c11))) :rule trans :premises (t959.t2.a2 t959.t2.t37 t959.t2.t71 t959.t2.t73 t959.t2.t74 t959.t2.t67 t959.t2.t75 t959.t2.t63 t959.t2.t60 t959.t2.t76 t959.t2.t58 t959.t2.t77 t959.t2.t17))
% 11.51/11.76  (step t959.t2.t83 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule cong :premises (t959.t2.t82))
% 11.51/11.76  (step t959.t2.t84 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule trans :premises (t959.t2.t1 t959.t2.a4 t959.t2.t5 t959.t2.a6 t959.t2.t79 t959.t2.t80 t959.t2.t65 t959.t2.a9 t959.t2.t14 t959.t2.t16 t959.t2.t32 t959.t2.t37 t959.t2.t71 t959.t2.t73 t959.t2.t74 t959.t2.t67 t959.t2.t75 t959.t2.t63 t959.t2.t60 t959.t2.t76 t959.t2.t58 t959.t2.t77 t959.t2.t17 t959.t2.t81 t959.t2.t83))
% 11.51/11.76  (step t959.t2 (cl (not (= tptp.sk_c10 (tptp.inverse 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.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule subproof :discharge (t959.t2.a0 t959.t2.a1 t959.t2.a2 t959.t2.a3 t959.t2.a4 t959.t2.a5 t959.t2.a6 t959.t2.a7 t959.t2.a8 t959.t2.a9 t959.t2.a10 t959.t2.a11 t959.t2.a12 t959.t2.a13 t959.t2.a14 t959.t2.a15 t959.t2.a16 t959.t2.a17))
% 11.51/11.76  (step t959.t3 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t959.t4 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t959.t5 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t959.t6 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t959.t7 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t959.t8 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t959.t9 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.76  (step t959.t10 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t959.t11 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t959.t12 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t959.t13 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t959.t14 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t959.t15 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t959.t16 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t959.t17 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t959.t18 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t959.t19 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t959.t20 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t959.t21 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t959.t2 t959.t3 t959.t4 t959.t5 t959.t6 t959.t7 t959.t8 t959.t9 t959.t10 t959.t11 t959.t12 t959.t13 t959.t14 t959.t15 t959.t16 t959.t17 t959.t18 t959.t19 t959.t20))
% 11.51/11.76  (step t959.t22 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule reordering :premises (t959.t21))
% 11.51/11.76  (step t959.t23 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule contraction :premises (t959.t22))
% 11.51/11.76  (step t959.t24 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t959.t1 t959.t23))
% 11.51/11.76  (step t959.t25 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule implies_neg2)
% 11.51/11.76  (step t959.t26 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule resolution :premises (t959.t24 t959.t25))
% 11.51/11.76  (step t959.t27 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule contraction :premises (t959.t26))
% 11.51/11.76  (step t959.t28 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule implies :premises (t959.t27))
% 11.51/11.76  (step t959.t29 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse 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.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule and_neg)
% 11.51/11.76  (step t959.t30 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule resolution :premises (t959.t29 t959.a0 t959.a5 t959.a6 t959.a1 t959.a11 t959.a12 t959.a13 t959.a2 t959.a14 t959.a4 t959.a16 t959.a7 t959.a9 t959.a17 t959.a8 t959.a10 t959.a3 t959.a15))
% 11.51/11.76  (step t959.t31 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t959.t28 t959.t30))
% 11.51/11.76  (step t959 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule subproof :discharge (t959.a0 t959.a1 t959.a2 t959.a3 t959.a4 t959.a5 t959.a6 t959.a7 t959.a8 t959.a9 t959.a10 t959.a11 t959.a12 t959.a13 t959.a14 t959.a15 t959.a16 t959.a17))
% 11.51/11.76  (step t960 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t961 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t962 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t963 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t964 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t965 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t966 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t967 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t968 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t969 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t970 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t971 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t972 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t973 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.76  (step t974 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t975 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t976 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t977 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t978 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t959 t960 t961 t962 t963 t964 t965 t966 t967 t968 t969 t970 t971 t972 t973 t974 t975 t976 t977))
% 11.51/11.76  (step t979 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule reordering :premises (t978))
% 11.51/11.76  (step t980 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule contraction :premises (t979))
% 11.51/11.76  (step t981 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t958 t980))
% 11.51/11.76  (step t982 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule implies_neg2)
% 11.51/11.76  (step t983 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule resolution :premises (t981 t982))
% 11.51/11.76  (step t984 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11))))) :rule contraction :premises (t983))
% 11.51/11.76  (step t985 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule implies :premises (t984))
% 11.51/11.76  (step t986 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t957 t985))
% 11.51/11.76  (step t987 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) :rule and_neg)
% 11.51/11.76  (step t988 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t989)
% 11.51/11.76  (assume t989.a0 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (assume t989.a1 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (step t989.t1 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t989.t2)
% 11.51/11.76  (assume t989.t2.a0 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t989.t2.a1 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (step t989.t2.t1 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t989.t2.a1))
% 11.51/11.76  (step t989.t2.t2 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule symm :premises (t989.t2.t1))
% 11.51/11.76  (step t989.t2.t3 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.76  (step t989.t2.t4 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t989.t2.a0))
% 11.51/11.76  (step t989.t2.t5 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t989.t2.t4))
% 11.51/11.76  (step t989.t2.t6 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t989.t2.t3 t989.t2.t5))
% 11.51/11.76  (step t989.t2.t7 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t989.t2.t2 t989.t2.t6))
% 11.51/11.76  (step t989.t2 (cl (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t989.t2.a0 t989.t2.a1))
% 11.51/11.76  (step t989.t3 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t989.t4 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t989.t5 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))))) :rule resolution :premises (t989.t2 t989.t3 t989.t4))
% 11.51/11.76  (step t989.t6 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t989.t5))
% 11.51/11.76  (step t989.t7 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t989.t6))
% 11.51/11.76  (step t989.t8 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 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 (t989.t1 t989.t7))
% 11.51/11.76  (step t989.t9 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 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)
% 11.51/11.76  (step t989.t10 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t989.t8 t989.t9))
% 11.51/11.76  (step t989.t11 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t989.t10))
% 11.51/11.76  (step t989.t12 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t989.t11))
% 11.51/11.76  (step t989.t13 (cl (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_neg)
% 11.51/11.76  (step t989.t14 (cl (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule resolution :premises (t989.t13 t989.a1 t989.a0))
% 11.51/11.76  (step t989.t15 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t989.t12 t989.t14))
% 11.51/11.76  (step t989 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t989.a0 t989.a1))
% 11.51/11.76  (step t990 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t991 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t992 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t989 t990 t991))
% 11.51/11.76  (step t993 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t992))
% 11.51/11.76  (step t994 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t993))
% 11.51/11.76  (step t995 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (= 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 (t988 t994))
% 11.51/11.76  (step t996 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (= 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)
% 11.51/11.76  (step t997 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t995 t996))
% 11.51/11.76  (step t998 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t997))
% 11.51/11.76  (step t999 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t998))
% 11.51/11.76  (step t1000 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t987 t999))
% 11.51/11.76  (step t1001 (cl (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_neg)
% 11.51/11.76  (step t1002 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1003)
% 11.51/11.76  (assume t1003.a0 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1003.a1 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.76  (step t1003.t1 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1003.t2)
% 11.51/11.76  (assume t1003.t2.a0 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1003.t2.a1 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.76  (step t1003.t2.t1 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t1003.t2.a1))
% 11.51/11.76  (step t1003.t2.t2 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t1003.t2.t1))
% 11.51/11.76  (step t1003.t2.t3 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t1003.t2.a0))
% 11.51/11.76  (step t1003.t2.t4 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1003.t2.t3))
% 11.51/11.76  (step t1003.t2.t5 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.51/11.76  (step t1003.t2.t6 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t1003.t2.t4 t1003.t2.t5))
% 11.51/11.76  (step t1003.t2.t7 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule trans :premises (t1003.t2.t2 t1003.t2.t6))
% 11.51/11.76  (step t1003.t2 (cl (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule subproof :discharge (t1003.t2.a0 t1003.t2.a1))
% 11.51/11.76  (step t1003.t3 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1003.t4 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t1003.t5 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)) (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule resolution :premises (t1003.t2 t1003.t3 t1003.t4))
% 11.51/11.76  (step t1003.t6 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule reordering :premises (t1003.t5))
% 11.51/11.76  (step t1003.t7 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule contraction :premises (t1003.t6))
% 11.51/11.76  (step t1003.t8 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= 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 (t1003.t1 t1003.t7))
% 11.51/11.76  (step t1003.t9 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= 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)
% 11.51/11.76  (step t1003.t10 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule resolution :premises (t1003.t8 t1003.t9))
% 11.51/11.76  (step t1003.t11 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule contraction :premises (t1003.t10))
% 11.51/11.76  (step t1003.t12 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule implies :premises (t1003.t11))
% 11.51/11.76  (step t1003.t13 (cl (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_neg)
% 11.51/11.76  (step t1003.t14 (cl (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t1003.t13 t1003.a0 t1003.a1))
% 11.51/11.76  (step t1003.t15 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1003.t12 t1003.t14))
% 11.51/11.76  (step t1003 (cl (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule subproof :discharge (t1003.a0 t1003.a1))
% 11.51/11.76  (step t1004 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1005 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t1006 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)) (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule resolution :premises (t1003 t1004 t1005))
% 11.51/11.76  (step t1007 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule reordering :premises (t1006))
% 11.51/11.76  (step t1008 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule contraction :premises (t1007))
% 11.51/11.76  (step t1009 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= 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 (t1002 t1008))
% 11.51/11.76  (step t1010 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= 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)
% 11.51/11.76  (step t1011 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule resolution :premises (t1009 t1010))
% 11.51/11.76  (step t1012 (cl (=> (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule contraction :premises (t1011))
% 11.51/11.76  (step t1013 (cl (not (and (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule implies :premises (t1012))
% 11.51/11.76  (step t1014 (cl (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1001 t1013))
% 11.51/11.76  (step t1015 (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))))))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t923 t925 t956 t600 t500 t818 t608 t616 t624 t632 t826 t275 t299 t640 t361 t369 t377 t385 t986 t600 t500 t818 t608 t616 t624 t632 t826 t275 t299 t640 t361 t369 t377 t1000 t1014))
% 11.51/11.76  (step t1016 (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))))))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule contraction :premises (t1015))
% 11.51/11.76  (step t1017 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (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)))))))) :rule reordering :premises (t1016))
% 11.51/11.76  (step t1018 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1019)
% 11.51/11.76  (assume t1019.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))
% 11.51/11.76  (step t1019.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity)))))) :rule forall_inst :args ((:= X1 tptp.identity)))
% 11.51/11.76  (step t1019.t2 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))))) :rule or :premises (t1019.t1))
% 11.51/11.76  (step t1019.t3 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))))) :rule resolution :premises (t1019.t2 t1019.a0))
% 11.51/11.76  (step t1019 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))))) :rule subproof :discharge (t1019.a0))
% 11.51/11.76  (step t1020 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))))) :rule resolution :premises (t1018 t1019))
% 11.51/11.76  (step t1021 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity)))))) :rule implies_neg2)
% 11.51/11.76  (step t1022 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))))) (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity)))))) :rule resolution :premises (t1020 t1021))
% 11.51/11.76  (step t1023 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity)))))) :rule contraction :premises (t1022))
% 11.51/11.76  (step t1024 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))))) :rule implies :premises (t1023))
% 11.51/11.76  (step t1025 (cl (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity)))) :rule or_pos)
% 11.51/11.76  (step t1026 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity)))))) :rule reordering :premises (t1025))
% 11.51/11.76  (step t1027 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1028)
% 11.51/11.76  (assume t1028.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.76  (assume t1028.a1 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (assume t1028.a2 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1028.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.76  (assume t1028.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.76  (assume t1028.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.76  (assume t1028.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.76  (assume t1028.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.76  (assume t1028.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.76  (assume t1028.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.76  (assume t1028.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.76  (assume t1028.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.76  (assume t1028.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.76  (assume t1028.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.76  (assume t1028.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.76  (assume t1028.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1028.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1028.a17 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (step t1028.t1 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1028.t2)
% 11.51/11.76  (assume t1028.t2.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.76  (assume t1028.t2.a1 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.76  (assume t1028.t2.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (assume t1028.t2.a3 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.76  (assume t1028.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.76  (assume t1028.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.76  (assume t1028.t2.a6 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1028.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.76  (assume t1028.t2.a8 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.76  (assume t1028.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1028.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.76  (assume t1028.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.76  (assume t1028.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.76  (assume t1028.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1028.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.76  (assume t1028.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.76  (assume t1028.t2.a16 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.76  (assume t1028.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (step t1028.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1028.t2.a1))
% 11.51/11.76  (step t1028.t2.t2 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.76  (step t1028.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule cong :premises (t1028.t2.t1 t1028.t2.t2))
% 11.51/11.76  (step t1028.t2.t4 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t1028.t2.a0 t1028.t2.t3))
% 11.51/11.76  (step t1028.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1028.t2.t4 t1028.t2.t2))
% 11.51/11.76  (step t1028.t2.t6 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1028.t2.a9))
% 11.51/11.76  (step t1028.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t1028.t2.t6))
% 11.51/11.76  (step t1028.t2.t8 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t1028.t2.t1))
% 11.51/11.76  (step t1028.t2.t9 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1028.t2.a8 t1028.t2.t2))
% 11.51/11.76  (step t1028.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1028.t2.a8))
% 11.51/11.76  (step t1028.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule trans :premises (t1028.t2.t10 t1028.t2.a2))
% 11.51/11.76  (step t1028.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule cong :premises (t1028.t2.t11 t1028.t2.t2))
% 11.51/11.76  (step t1028.t2.t13 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1028.t2.a7))
% 11.51/11.76  (step t1028.t2.t14 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule symm :premises (t1028.t2.t13))
% 11.51/11.76  (step t1028.t2.t15 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.76  (step t1028.t2.t16 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t1028.t2.a6))
% 11.51/11.76  (step t1028.t2.t17 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1028.t2.t16))
% 11.51/11.76  (step t1028.t2.t18 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule cong :premises (t1028.t2.t17 t1028.t2.a2))
% 11.51/11.76  (step t1028.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t1028.t2.a5))
% 11.51/11.76  (step t1028.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1028.t2.a4))
% 11.51/11.76  (step t1028.t2.t21 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.76  (step t1028.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t1028.t2.t20 t1028.t2.t21))
% 11.51/11.76  (step t1028.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t1028.t2.a3))
% 11.51/11.76  (step t1028.t2.t24 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c2)) :rule trans :premises (t1028.t2.t18 t1028.t2.t19 t1028.t2.t22 t1028.t2.t23))
% 11.51/11.76  (step t1028.t2.t25 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule cong :premises (t1028.t2.t15 t1028.t2.t24))
% 11.51/11.76  (step t1028.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t1028.t2.a2))
% 11.51/11.76  (step t1028.t2.t27 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c11)) :rule trans :premises (t1028.t2.t9 t1028.t2.t12 t1028.t2.t14 t1028.t2.t25 t1028.t2.t26))
% 11.51/11.76  (step t1028.t2.t28 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1028.t2.t8 t1028.t2.t27))
% 11.51/11.76  (step t1028.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1028.t2.a0))
% 11.51/11.76  (step t1028.t2.t30 (cl (= tptp.sk_c11 tptp.identity)) :rule trans :premises (t1028.t2.a8 t1028.t2.t5 t1028.t2.t7 t1028.t2.t28 t1028.t2.t29))
% 11.51/11.76  (step t1028.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t1028.t2.t1 t1028.t2.t30))
% 11.51/11.76  (step t1028.t2.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1028.t2.a10))
% 11.51/11.76  (step t1028.t2.t33 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1028.t2.t32))
% 11.51/11.76  (step t1028.t2.t34 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t1028.t2.a12))
% 11.51/11.76  (step t1028.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t1028.t2.t34))
% 11.51/11.76  (step t1028.t2.t36 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule symm :premises (t1028.t2.t4))
% 11.51/11.76  (step t1028.t2.t37 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t1028.t2.a8 t1028.t2.t36))
% 11.51/11.76  (step t1028.t2.t38 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.51/11.76  (step t1028.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule cong :premises (t1028.t2.t10 t1028.t2.t38))
% 11.51/11.76  (step t1028.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t1028.t2.t35 t1028.t2.t37 t1028.t2.t39))
% 11.51/11.76  (step t1028.t2.t41 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t1028.t2.t40))
% 11.51/11.76  (step t1028.t2.t42 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule refl)
% 11.51/11.76  (step t1028.t2.t43 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule symm :premises (t1028.t2.t27))
% 11.51/11.76  (step t1028.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t1028.t2.t42 t1028.t2.t43))
% 11.51/11.76  (step t1028.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1028.t2.a13))
% 11.51/11.76  (step t1028.t2.t46 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule cong :premises (t1028.t2.t40 t1028.t2.t2))
% 11.51/11.76  (step t1028.t2.t47 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule symm :premises (t1028.t2.a11))
% 11.51/11.76  (step t1028.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t1028.t2.t47))
% 11.51/11.76  (step t1028.t2.t49 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t1028.t2.t2 t1028.t2.t10))
% 11.51/11.76  (step t1028.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t1028.t2.t44 t1028.t2.t45 t1028.t2.t46 t1028.t2.t48 t1028.t2.t49 t1028.t2.t9 t1028.t2.t12 t1028.t2.t14 t1028.t2.t25 t1028.t2.t26 t1028.t2.a8 t1028.t2.t5 t1028.t2.t7 t1028.t2.t28 t1028.t2.t29))
% 11.51/11.76  (step t1028.t2.t51 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) tptp.identity)) :rule trans :premises (t1028.t2.t41 t1028.t2.t50))
% 11.51/11.76  (step t1028.t2.t52 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.51/11.76  (step t1028.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t1028.t2.t51 t1028.t2.t52))
% 11.51/11.76  (step t1028.t2.t54 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t1028.t2.t53))
% 11.51/11.76  (step t1028.t2.t55 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t1028.t2.t2 t1028.t2.t33))
% 11.51/11.76  (step t1028.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t1028.t2.t55))
% 11.51/11.76  (step t1028.t2.t57 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t1028.t2.t33 t1028.t2.t54 t1028.t2.a14 t1028.t2.t56))
% 11.51/11.76  (step t1028.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t1028.t2.t26 t1028.t2.t52))
% 11.51/11.76  (step t1028.t2.t59 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t1028.t2.t58))
% 11.51/11.76  (step t1028.t2.t60 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t1028.t2.a16))
% 11.51/11.76  (step t1028.t2.t61 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t1028.t2.t60))
% 11.51/11.76  (step t1028.t2.t62 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule cong :premises (t1028.t2.t15 t1028.t2.t61))
% 11.51/11.76  (step t1028.t2.t63 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1028.t2.t62))
% 11.51/11.76  (step t1028.t2.t64 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t1028.t2.t59 t1028.t2.a15 t1028.t2.t63))
% 11.51/11.76  (step t1028.t2.t65 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t1028.t2.t57 t1028.t2.t64))
% 11.51/11.76  (step t1028.t2.t66 (cl (= tptp.identity tptp.sk_c11)) :rule symm :premises (t1028.t2.t30))
% 11.51/11.76  (step t1028.t2.t67 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1028.t2.t65 t1028.t2.t66))
% 11.51/11.76  (step t1028.t2.t68 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1028.t2.a17))
% 11.51/11.76  (step t1028.t2.t69 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t1028.t2.t68))
% 11.51/11.76  (step t1028.t2.t70 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t1028.t2.t15 t1028.t2.t27))
% 11.51/11.76  (step t1028.t2.t71 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t1028.t2.a15))
% 11.51/11.76  (step t1028.t2.t72 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t1028.t2.a14))
% 11.51/11.76  (step t1028.t2.t73 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1028.t2.t33))
% 11.51/11.76  (step t1028.t2.t74 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.identity))) :rule cong :premises (t1028.t2.t30))
% 11.51/11.76  (step t1028.t2.t75 (cl (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule trans :premises (t1028.t2.a8 t1028.t2.t5 t1028.t2.t7 t1028.t2.t28 t1028.t2.t31 t1028.t2.t67 t1028.t2.t69 t1028.t2.t70 t1028.t2.t62 t1028.t2.t71 t1028.t2.t58 t1028.t2.t55 t1028.t2.t72 t1028.t2.t53 t1028.t2.t73 t1028.t2.t8 t1028.t2.t74))
% 11.51/11.76  (step t1028.t2 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule subproof :discharge (t1028.t2.a0 t1028.t2.a1 t1028.t2.a2 t1028.t2.a3 t1028.t2.a4 t1028.t2.a5 t1028.t2.a6 t1028.t2.a7 t1028.t2.a8 t1028.t2.a9 t1028.t2.a10 t1028.t2.a11 t1028.t2.a12 t1028.t2.a13 t1028.t2.a14 t1028.t2.a15 t1028.t2.a16 t1028.t2.a17))
% 11.51/11.76  (step t1028.t3 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1028.t4 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1028.t5 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1028.t6 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1028.t7 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1028.t8 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.76  (step t1028.t9 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1028.t10 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1028.t11 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1028.t12 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1028.t13 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t1028.t14 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1028.t15 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1028.t16 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1028.t17 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t1028.t18 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t1028.t19 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t1028.t20 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1028.t21 (cl (= tptp.sk_c11 (tptp.inverse tptp.identity)) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t1028.t2 t1028.t3 t1028.t4 t1028.t5 t1028.t6 t1028.t7 t1028.t8 t1028.t9 t1028.t10 t1028.t11 t1028.t12 t1028.t13 t1028.t14 t1028.t15 t1028.t16 t1028.t17 t1028.t18 t1028.t19 t1028.t20))
% 11.51/11.76  (step t1028.t22 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule reordering :premises (t1028.t21))
% 11.51/11.76  (step t1028.t23 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule contraction :premises (t1028.t22))
% 11.51/11.76  (step t1028.t24 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule resolution :premises (t1028.t1 t1028.t23))
% 11.51/11.76  (step t1028.t25 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 11.51/11.76  (step t1028.t26 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity)))) :rule resolution :premises (t1028.t24 t1028.t25))
% 11.51/11.76  (step t1028.t27 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity)))) :rule contraction :premises (t1028.t26))
% 11.51/11.76  (step t1028.t28 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule implies :premises (t1028.t27))
% 11.51/11.76  (step t1028.t29 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule and_neg)
% 11.51/11.76  (step t1028.t30 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule resolution :premises (t1028.t29 t1028.a6 t1028.a0 t1028.a1 t1028.a11 t1028.a12 t1028.a13 t1028.a2 t1028.a14 t1028.a4 t1028.a16 t1028.a5 t1028.a7 t1028.a9 t1028.a17 t1028.a8 t1028.a10 t1028.a3 t1028.a15))
% 11.51/11.76  (step t1028.t31 (cl (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule resolution :premises (t1028.t28 t1028.t30))
% 11.51/11.76  (step t1028 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule subproof :discharge (t1028.a0 t1028.a1 t1028.a2 t1028.a3 t1028.a4 t1028.a5 t1028.a6 t1028.a7 t1028.a8 t1028.a9 t1028.a10 t1028.a11 t1028.a12 t1028.a13 t1028.a14 t1028.a15 t1028.a16 t1028.a17))
% 11.51/11.76  (step t1029 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1030 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1031 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1032 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t1033 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1034 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t1035 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1036 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1037 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t1038 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1039 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t1040 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1041 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1042 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.76  (step t1043 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1044 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1045 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1046 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1047 (cl (= tptp.sk_c11 (tptp.inverse tptp.identity)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t1028 t1029 t1030 t1031 t1032 t1033 t1034 t1035 t1036 t1037 t1038 t1039 t1040 t1041 t1042 t1043 t1044 t1045 t1046))
% 11.51/11.76  (step t1048 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule reordering :premises (t1047))
% 11.51/11.76  (step t1049 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule contraction :premises (t1048))
% 11.51/11.76  (step t1050 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule resolution :premises (t1027 t1049))
% 11.51/11.76  (step t1051 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 11.51/11.76  (step t1052 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity)))) :rule resolution :premises (t1050 t1051))
% 11.51/11.76  (step t1053 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity)))) :rule contraction :premises (t1052))
% 11.51/11.76  (step t1054 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule implies :premises (t1053))
% 11.51/11.76  (step t1055 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule resolution :premises (t957 t1054))
% 11.51/11.76  (step t1056 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule reordering :premises (t1055))
% 11.51/11.76  (step t1057 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1058)
% 11.51/11.76  (assume t1058.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.76  (assume t1058.a1 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (assume t1058.a2 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1058.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.76  (assume t1058.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.76  (assume t1058.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.76  (assume t1058.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.76  (assume t1058.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.76  (assume t1058.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.76  (assume t1058.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.76  (assume t1058.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.76  (assume t1058.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.76  (assume t1058.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.76  (assume t1058.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.76  (assume t1058.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.76  (assume t1058.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1058.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1058.a17 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (step t1058.t1 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1058.t2)
% 11.51/11.76  (assume t1058.t2.a0 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.76  (assume t1058.t2.a1 (= tptp.sk_c11 (tptp.inverse tptp.identity)))
% 11.51/11.76  (assume t1058.t2.a2 (= tptp.sk_c10 (tptp.inverse tptp.identity)))
% 11.51/11.76  (step t1058.t2.t1 (cl (= (tptp.inverse tptp.identity) tptp.sk_c10)) :rule symm :premises (t1058.t2.a2))
% 11.51/11.76  (step t1058.t2.t2 (cl (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule symm :premises (t1058.t2.t1))
% 11.51/11.76  (step t1058.t2.t3 (cl (= (tptp.inverse tptp.identity) tptp.sk_c11)) :rule symm :premises (t1058.t2.a1))
% 11.51/11.76  (step t1058.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1058.t2.a0))
% 11.51/11.76  (step t1058.t2.t5 (cl (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule symm :premises (t1058.t2.t4))
% 11.51/11.76  (step t1058.t2.t6 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule trans :premises (t1058.t2.t2 t1058.t2.t3 t1058.t2.t5))
% 11.51/11.76  (step t1058.t2 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule subproof :discharge (t1058.t2.a0 t1058.t2.a1 t1058.t2.a2))
% 11.51/11.76  (step t1058.t3 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1058.t4 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule and_pos)
% 11.51/11.76  (step t1058.t5 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule and_pos)
% 11.51/11.76  (step t1058.t6 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11)) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity))))) :rule resolution :premises (t1058.t2 t1058.t3 t1058.t4 t1058.t5))
% 11.51/11.76  (step t1058.t7 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule reordering :premises (t1058.t6))
% 11.51/11.76  (step t1058.t8 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule contraction :premises (t1058.t7))
% 11.51/11.76  (step t1058.t9 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule resolution :premises (t1058.t1 t1058.t8))
% 11.51/11.76  (step t1058.t10 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule implies_neg2)
% 11.51/11.76  (step t1058.t11 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule resolution :premises (t1058.t9 t1058.t10))
% 11.51/11.76  (step t1058.t12 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule contraction :premises (t1058.t11))
% 11.51/11.76  (step t1058.t13 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule implies :premises (t1058.t12))
% 11.51/11.76  (step t1058.t14 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule and_neg)
% 11.51/11.76  (step t1058.t15 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1058.t16)
% 11.51/11.76  (assume t1058.t16.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.76  (assume t1058.t16.a1 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.76  (assume t1058.t16.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (assume t1058.t16.a3 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.76  (assume t1058.t16.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.76  (assume t1058.t16.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.76  (assume t1058.t16.a6 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1058.t16.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.76  (assume t1058.t16.a8 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.76  (assume t1058.t16.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1058.t16.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.76  (assume t1058.t16.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.76  (assume t1058.t16.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.76  (assume t1058.t16.a13 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1058.t16.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.76  (assume t1058.t16.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))
% 11.51/11.76  (assume t1058.t16.a16 (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.51/11.76  (assume t1058.t16.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (step t1058.t16.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1058.t16.a1))
% 11.51/11.76  (step t1058.t16.t2 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.76  (step t1058.t16.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule cong :premises (t1058.t16.t1 t1058.t16.t2))
% 11.51/11.76  (step t1058.t16.t4 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t1058.t16.a0 t1058.t16.t3))
% 11.51/11.76  (step t1058.t16.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1058.t16.t4 t1058.t16.t2))
% 11.51/11.76  (step t1058.t16.t6 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1058.t16.a9))
% 11.51/11.76  (step t1058.t16.t7 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t1058.t16.t6))
% 11.51/11.76  (step t1058.t16.t8 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t1058.t16.t1))
% 11.51/11.76  (step t1058.t16.t9 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1058.t16.a8 t1058.t16.t2))
% 11.51/11.76  (step t1058.t16.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1058.t16.a8))
% 11.51/11.76  (step t1058.t16.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule trans :premises (t1058.t16.t10 t1058.t16.a2))
% 11.51/11.76  (step t1058.t16.t12 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule cong :premises (t1058.t16.t11 t1058.t16.t2))
% 11.51/11.76  (step t1058.t16.t13 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1058.t16.a7))
% 11.51/11.76  (step t1058.t16.t14 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule symm :premises (t1058.t16.t13))
% 11.51/11.76  (step t1058.t16.t15 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.76  (step t1058.t16.t16 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t1058.t16.a6))
% 11.51/11.76  (step t1058.t16.t17 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1058.t16.t16))
% 11.51/11.76  (step t1058.t16.t18 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule cong :premises (t1058.t16.t17 t1058.t16.a2))
% 11.51/11.76  (step t1058.t16.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t1058.t16.a5))
% 11.51/11.76  (step t1058.t16.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1058.t16.a4))
% 11.51/11.76  (step t1058.t16.t21 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.76  (step t1058.t16.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t1058.t16.t20 t1058.t16.t21))
% 11.51/11.76  (step t1058.t16.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t1058.t16.a3))
% 11.51/11.76  (step t1058.t16.t24 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c2)) :rule trans :premises (t1058.t16.t18 t1058.t16.t19 t1058.t16.t22 t1058.t16.t23))
% 11.51/11.76  (step t1058.t16.t25 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule cong :premises (t1058.t16.t15 t1058.t16.t24))
% 11.51/11.76  (step t1058.t16.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t1058.t16.a2))
% 11.51/11.76  (step t1058.t16.t27 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c11)) :rule trans :premises (t1058.t16.t9 t1058.t16.t12 t1058.t16.t14 t1058.t16.t25 t1058.t16.t26))
% 11.51/11.76  (step t1058.t16.t28 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1058.t16.t8 t1058.t16.t27))
% 11.51/11.76  (step t1058.t16.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1058.t16.a0))
% 11.51/11.76  (step t1058.t16.t30 (cl (= tptp.sk_c11 tptp.identity)) :rule trans :premises (t1058.t16.a8 t1058.t16.t5 t1058.t16.t7 t1058.t16.t28 t1058.t16.t29))
% 11.51/11.76  (step t1058.t16.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t1058.t16.t1 t1058.t16.t30))
% 11.51/11.76  (step t1058.t16.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1058.t16.a10))
% 11.51/11.76  (step t1058.t16.t33 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1058.t16.t32))
% 11.51/11.76  (step t1058.t16.t34 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t1058.t16.a12))
% 11.51/11.76  (step t1058.t16.t35 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t1058.t16.t34))
% 11.51/11.76  (step t1058.t16.t36 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule symm :premises (t1058.t16.t4))
% 11.51/11.76  (step t1058.t16.t37 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t1058.t16.a8 t1058.t16.t36))
% 11.51/11.76  (step t1058.t16.t38 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.51/11.76  (step t1058.t16.t39 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule cong :premises (t1058.t16.t10 t1058.t16.t38))
% 11.51/11.76  (step t1058.t16.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t1058.t16.t35 t1058.t16.t37 t1058.t16.t39))
% 11.51/11.76  (step t1058.t16.t41 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t1058.t16.t40))
% 11.51/11.76  (step t1058.t16.t42 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule refl)
% 11.51/11.76  (step t1058.t16.t43 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule symm :premises (t1058.t16.t27))
% 11.51/11.76  (step t1058.t16.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t1058.t16.t42 t1058.t16.t43))
% 11.51/11.76  (step t1058.t16.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1058.t16.a13))
% 11.51/11.76  (step t1058.t16.t46 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule cong :premises (t1058.t16.t40 t1058.t16.t2))
% 11.51/11.76  (step t1058.t16.t47 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule symm :premises (t1058.t16.a11))
% 11.51/11.76  (step t1058.t16.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t1058.t16.t47))
% 11.51/11.76  (step t1058.t16.t49 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t1058.t16.t2 t1058.t16.t10))
% 11.51/11.76  (step t1058.t16.t50 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t1058.t16.t44 t1058.t16.t45 t1058.t16.t46 t1058.t16.t48 t1058.t16.t49 t1058.t16.t9 t1058.t16.t12 t1058.t16.t14 t1058.t16.t25 t1058.t16.t26 t1058.t16.a8 t1058.t16.t5 t1058.t16.t7 t1058.t16.t28 t1058.t16.t29))
% 11.51/11.76  (step t1058.t16.t51 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) tptp.identity)) :rule trans :premises (t1058.t16.t41 t1058.t16.t50))
% 11.51/11.76  (step t1058.t16.t52 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.51/11.76  (step t1058.t16.t53 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t1058.t16.t51 t1058.t16.t52))
% 11.51/11.76  (step t1058.t16.t54 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t1058.t16.t53))
% 11.51/11.76  (step t1058.t16.t55 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t1058.t16.t2 t1058.t16.t33))
% 11.51/11.76  (step t1058.t16.t56 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t1058.t16.t55))
% 11.51/11.76  (step t1058.t16.t57 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t1058.t16.t33 t1058.t16.t54 t1058.t16.a14 t1058.t16.t56))
% 11.51/11.76  (step t1058.t16.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t1058.t16.t26 t1058.t16.t52))
% 11.51/11.76  (step t1058.t16.t59 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t1058.t16.t58))
% 11.51/11.76  (step t1058.t16.t60 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t1058.t16.a16))
% 11.51/11.76  (step t1058.t16.t61 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t1058.t16.t60))
% 11.51/11.76  (step t1058.t16.t62 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule cong :premises (t1058.t16.t15 t1058.t16.t61))
% 11.51/11.76  (step t1058.t16.t63 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1058.t16.t62))
% 11.51/11.76  (step t1058.t16.t64 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t1058.t16.t59 t1058.t16.a15 t1058.t16.t63))
% 11.51/11.76  (step t1058.t16.t65 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t1058.t16.t57 t1058.t16.t64))
% 11.51/11.76  (step t1058.t16.t66 (cl (= tptp.identity tptp.sk_c11)) :rule symm :premises (t1058.t16.t30))
% 11.51/11.76  (step t1058.t16.t67 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1058.t16.t65 t1058.t16.t66))
% 11.51/11.76  (step t1058.t16.t68 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1058.t16.a17))
% 11.51/11.76  (step t1058.t16.t69 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t1058.t16.t68))
% 11.51/11.76  (step t1058.t16.t70 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t1058.t16.t15 t1058.t16.t27))
% 11.51/11.76  (step t1058.t16.t71 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10))) :rule symm :premises (t1058.t16.a15))
% 11.51/11.76  (step t1058.t16.t72 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t1058.t16.a14))
% 11.51/11.76  (step t1058.t16.t73 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1058.t16.t33))
% 11.51/11.76  (step t1058.t16.t74 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.identity))) :rule cong :premises (t1058.t16.t30))
% 11.51/11.76  (step t1058.t16.t75 (cl (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule trans :premises (t1058.t16.a8 t1058.t16.t5 t1058.t16.t7 t1058.t16.t28 t1058.t16.t31 t1058.t16.t67 t1058.t16.t69 t1058.t16.t70 t1058.t16.t62 t1058.t16.t71 t1058.t16.t58 t1058.t16.t55 t1058.t16.t72 t1058.t16.t53 t1058.t16.t73 t1058.t16.t8 t1058.t16.t74))
% 11.51/11.76  (step t1058.t16 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule subproof :discharge (t1058.t16.a0 t1058.t16.a1 t1058.t16.a2 t1058.t16.a3 t1058.t16.a4 t1058.t16.a5 t1058.t16.a6 t1058.t16.a7 t1058.t16.a8 t1058.t16.a9 t1058.t16.a10 t1058.t16.a11 t1058.t16.a12 t1058.t16.a13 t1058.t16.a14 t1058.t16.a15 t1058.t16.a16 t1058.t16.a17))
% 11.51/11.76  (step t1058.t17 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1058.t18 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1058.t19 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1058.t20 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1058.t21 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1058.t22 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.76  (step t1058.t23 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1058.t24 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1058.t25 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1058.t26 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1058.t27 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t1058.t28 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1058.t29 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1058.t30 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1058.t31 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t1058.t32 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t1058.t33 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t1058.t34 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1058.t35 (cl (= tptp.sk_c11 (tptp.inverse tptp.identity)) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t1058.t16 t1058.t17 t1058.t18 t1058.t19 t1058.t20 t1058.t21 t1058.t22 t1058.t23 t1058.t24 t1058.t25 t1058.t26 t1058.t27 t1058.t28 t1058.t29 t1058.t30 t1058.t31 t1058.t32 t1058.t33 t1058.t34))
% 11.51/11.76  (step t1058.t36 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule reordering :premises (t1058.t35))
% 11.51/11.76  (step t1058.t37 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule contraction :premises (t1058.t36))
% 11.51/11.76  (step t1058.t38 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule resolution :premises (t1058.t15 t1058.t37))
% 11.51/11.76  (step t1058.t39 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (not (= tptp.sk_c11 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 11.51/11.76  (step t1058.t40 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity)))) :rule resolution :premises (t1058.t38 t1058.t39))
% 11.51/11.76  (step t1058.t41 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.identity)))) :rule contraction :premises (t1058.t40))
% 11.51/11.76  (step t1058.t42 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule implies :premises (t1058.t41))
% 11.51/11.76  (step t1058.t43 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule and_neg)
% 11.51/11.76  (step t1058.t44 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule resolution :premises (t1058.t43 t1058.a6 t1058.a0 t1058.a1 t1058.a11 t1058.a12 t1058.a13 t1058.a2 t1058.a14 t1058.a4 t1058.a16 t1058.a5 t1058.a7 t1058.a9 t1058.a17 t1058.a8 t1058.a10 t1058.a3 t1058.a15))
% 11.51/11.76  (step t1058.t45 (cl (= tptp.sk_c11 (tptp.inverse tptp.identity))) :rule resolution :premises (t1058.t42 t1058.t44))
% 11.51/11.76  (step t1058.t46 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1058.t47)
% 11.51/11.76  (assume t1058.t47.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.76  (assume t1058.t47.a1 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.76  (assume t1058.t47.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (assume t1058.t47.a3 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.76  (assume t1058.t47.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.76  (assume t1058.t47.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.76  (assume t1058.t47.a6 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1058.t47.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.76  (assume t1058.t47.a8 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.76  (assume t1058.t47.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (step t1058.t47.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1058.t47.a1))
% 11.51/11.76  (step t1058.t47.t2 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t1058.t47.t1))
% 11.51/11.76  (step t1058.t47.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.76  (step t1058.t47.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule cong :premises (t1058.t47.t1 t1058.t47.t3))
% 11.51/11.76  (step t1058.t47.t5 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t1058.t47.a0 t1058.t47.t4))
% 11.51/11.76  (step t1058.t47.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1058.t47.t5 t1058.t47.t3))
% 11.51/11.76  (step t1058.t47.t7 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1058.t47.a9))
% 11.51/11.76  (step t1058.t47.t8 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t1058.t47.t7))
% 11.51/11.76  (step t1058.t47.t9 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1058.t47.a8 t1058.t47.t3))
% 11.51/11.76  (step t1058.t47.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1058.t47.a8))
% 11.51/11.76  (step t1058.t47.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule trans :premises (t1058.t47.t10 t1058.t47.a2))
% 11.51/11.76  (step t1058.t47.t12 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule cong :premises (t1058.t47.t11 t1058.t47.t3))
% 11.51/11.76  (step t1058.t47.t13 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1058.t47.a7))
% 11.51/11.76  (step t1058.t47.t14 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule symm :premises (t1058.t47.t13))
% 11.51/11.76  (step t1058.t47.t15 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.76  (step t1058.t47.t16 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t1058.t47.a6))
% 11.51/11.76  (step t1058.t47.t17 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1058.t47.t16))
% 11.51/11.76  (step t1058.t47.t18 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule cong :premises (t1058.t47.t17 t1058.t47.a2))
% 11.51/11.76  (step t1058.t47.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t1058.t47.a5))
% 11.51/11.76  (step t1058.t47.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1058.t47.a4))
% 11.51/11.76  (step t1058.t47.t21 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.76  (step t1058.t47.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t1058.t47.t20 t1058.t47.t21))
% 11.51/11.76  (step t1058.t47.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t1058.t47.a3))
% 11.51/11.76  (step t1058.t47.t24 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c2)) :rule trans :premises (t1058.t47.t18 t1058.t47.t19 t1058.t47.t22 t1058.t47.t23))
% 11.51/11.76  (step t1058.t47.t25 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule cong :premises (t1058.t47.t15 t1058.t47.t24))
% 11.51/11.76  (step t1058.t47.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t1058.t47.a2))
% 11.51/11.76  (step t1058.t47.t27 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c11)) :rule trans :premises (t1058.t47.t9 t1058.t47.t12 t1058.t47.t14 t1058.t47.t25 t1058.t47.t26))
% 11.51/11.76  (step t1058.t47.t28 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1058.t47.t2 t1058.t47.t27))
% 11.51/11.76  (step t1058.t47.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1058.t47.a0))
% 11.51/11.76  (step t1058.t47.t30 (cl (= tptp.sk_c11 tptp.identity)) :rule trans :premises (t1058.t47.a8 t1058.t47.t6 t1058.t47.t8 t1058.t47.t28 t1058.t47.t29))
% 11.51/11.76  (step t1058.t47.t31 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.identity))) :rule cong :premises (t1058.t47.t30))
% 11.51/11.76  (step t1058.t47.t32 (cl (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule trans :premises (t1058.t47.t2 t1058.t47.t31))
% 11.51/11.76  (step t1058.t47 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule subproof :discharge (t1058.t47.a0 t1058.t47.a1 t1058.t47.a2 t1058.t47.a3 t1058.t47.a4 t1058.t47.a5 t1058.t47.a6 t1058.t47.a7 t1058.t47.a8 t1058.t47.a9))
% 11.51/11.76  (step t1058.t48 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1058.t49 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1058.t50 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1058.t51 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1058.t52 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1058.t53 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.76  (step t1058.t54 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1058.t55 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1058.t56 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1058.t57 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1058.t58 (cl (= tptp.sk_c10 (tptp.inverse tptp.identity)) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t1058.t47 t1058.t48 t1058.t49 t1058.t50 t1058.t51 t1058.t52 t1058.t53 t1058.t54 t1058.t55 t1058.t56 t1058.t57))
% 11.51/11.76  (step t1058.t59 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule reordering :premises (t1058.t58))
% 11.51/11.76  (step t1058.t60 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule contraction :premises (t1058.t59))
% 11.51/11.76  (step t1058.t61 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule resolution :premises (t1058.t46 t1058.t60))
% 11.51/11.76  (step t1058.t62 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 11.51/11.76  (step t1058.t63 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule resolution :premises (t1058.t61 t1058.t62))
% 11.51/11.76  (step t1058.t64 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule contraction :premises (t1058.t63))
% 11.51/11.76  (step t1058.t65 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule implies :premises (t1058.t64))
% 11.51/11.76  (step t1058.t66 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule and_neg)
% 11.51/11.76  (step t1058.t67 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule resolution :premises (t1058.t66 t1058.a6 t1058.a0 t1058.a1 t1058.a11 t1058.a12 t1058.a13 t1058.a2 t1058.a14 t1058.a4 t1058.a16))
% 11.51/11.76  (step t1058.t68 (cl (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule resolution :premises (t1058.t65 t1058.t67))
% 11.51/11.76  (step t1058.t69 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule resolution :premises (t1058.t14 t1058.a4 t1058.t45 t1058.t68))
% 11.51/11.76  (step t1058.t70 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule resolution :premises (t1058.t13 t1058.t69))
% 11.51/11.76  (step t1058 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule subproof :discharge (t1058.a0 t1058.a1 t1058.a2 t1058.a3 t1058.a4 t1058.a5 t1058.a6 t1058.a7 t1058.a8 t1058.a9 t1058.a10 t1058.a11 t1058.a12 t1058.a13 t1058.a14 t1058.a15 t1058.a16 t1058.a17))
% 11.51/11.76  (step t1059 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1060 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1061 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1062 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t1063 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1064 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.76  (step t1065 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1066 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1067 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t1068 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1069 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_pos)
% 11.51/11.76  (step t1070 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1071 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1072 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.76  (step t1073 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1074 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1075 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1076 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1077 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t1058 t1059 t1060 t1061 t1062 t1063 t1064 t1065 t1066 t1067 t1068 t1069 t1070 t1071 t1072 t1073 t1074 t1075 t1076))
% 11.51/11.76  (step t1078 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule reordering :premises (t1077))
% 11.51/11.76  (step t1079 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule contraction :premises (t1078))
% 11.51/11.76  (step t1080 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule resolution :premises (t1057 t1079))
% 11.51/11.76  (step t1081 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule implies_neg2)
% 11.51/11.76  (step t1082 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule resolution :premises (t1080 t1081))
% 11.51/11.76  (step t1083 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule contraction :premises (t1082))
% 11.51/11.76  (step t1084 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule implies :premises (t1083))
% 11.51/11.76  (step t1085 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11))) :rule resolution :premises (t957 t1084))
% 11.51/11.76  (step t1086 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule reordering :premises (t1085))
% 11.51/11.76  (step t1087 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1088)
% 11.51/11.76  (assume t1088.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))))
% 11.51/11.76  (step t1088.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) (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)))))) :rule forall_inst :args ((:= X3 tptp.sk_c1)))
% 11.51/11.76  (step t1088.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))))) :rule or :premises (t1088.t1))
% 11.51/11.76  (step t1088.t3 (cl (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))))) :rule resolution :premises (t1088.t2 t1088.a0))
% 11.51/11.76  (step t1088 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) (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))))) :rule subproof :discharge (t1088.a0))
% 11.51/11.76  (step t1089 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))))) :rule resolution :premises (t1087 t1088))
% 11.51/11.76  (step t1090 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (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 (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)))))) :rule implies_neg2)
% 11.51/11.76  (step t1091 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (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)))))) :rule resolution :premises (t1089 t1090))
% 11.51/11.76  (step t1092 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))))) :rule contraction :premises (t1091))
% 11.51/11.76  (step t1093 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) (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))))) :rule implies :premises (t1092))
% 11.51/11.76  (step t1094 (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.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)))) :rule or_pos)
% 11.51/11.76  (step t1095 (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 (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)))))) :rule reordering :premises (t1094))
% 11.51/11.76  (step t1096 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1093 t1095 t1014 t1000))
% 11.51/11.76  (step t1097 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10)))))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule contraction :premises (t1096))
% 11.51/11.76  (step t1098 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X3 (tptp.inverse X3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X3) tptp.sk_c10))))))) :rule reordering :premises (t1097))
% 11.51/11.76  (step t1099 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse 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.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule and_neg)
% 11.51/11.76  (step t1100 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1101)
% 11.51/11.76  (assume t1101.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.76  (assume t1101.a1 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (assume t1101.a2 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1101.a3 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.76  (assume t1101.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.76  (assume t1101.a5 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.76  (assume t1101.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.76  (assume t1101.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.76  (assume t1101.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.76  (assume t1101.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (step t1101.t1 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1101.t2)
% 11.51/11.76  (assume t1101.t2.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.76  (assume t1101.t2.a1 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.76  (assume t1101.t2.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (assume t1101.t2.a3 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.76  (assume t1101.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.76  (assume t1101.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.76  (assume t1101.t2.a6 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1101.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.76  (assume t1101.t2.a8 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.76  (assume t1101.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (step t1101.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1101.t2.a1))
% 11.51/11.76  (step t1101.t2.t2 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t1101.t2.t1))
% 11.51/11.76  (step t1101.t2.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.76  (step t1101.t2.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule cong :premises (t1101.t2.t1 t1101.t2.t3))
% 11.51/11.76  (step t1101.t2.t5 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t1101.t2.a0 t1101.t2.t4))
% 11.51/11.76  (step t1101.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1101.t2.t5 t1101.t2.t3))
% 11.51/11.76  (step t1101.t2.t7 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1101.t2.a9))
% 11.51/11.76  (step t1101.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule symm :premises (t1101.t2.t7))
% 11.51/11.76  (step t1101.t2.t9 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1101.t2.a8 t1101.t2.t3))
% 11.51/11.76  (step t1101.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1101.t2.a8))
% 11.51/11.76  (step t1101.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule trans :premises (t1101.t2.t10 t1101.t2.a2))
% 11.51/11.76  (step t1101.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule cong :premises (t1101.t2.t11 t1101.t2.t3))
% 11.51/11.76  (step t1101.t2.t13 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1101.t2.a7))
% 11.51/11.76  (step t1101.t2.t14 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule symm :premises (t1101.t2.t13))
% 11.51/11.76  (step t1101.t2.t15 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.76  (step t1101.t2.t16 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t1101.t2.a6))
% 11.51/11.76  (step t1101.t2.t17 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1101.t2.t16))
% 11.51/11.76  (step t1101.t2.t18 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule cong :premises (t1101.t2.t17 t1101.t2.a2))
% 11.51/11.76  (step t1101.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t1101.t2.a5))
% 11.51/11.76  (step t1101.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1101.t2.a4))
% 11.51/11.76  (step t1101.t2.t21 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.76  (step t1101.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t1101.t2.t20 t1101.t2.t21))
% 11.51/11.76  (step t1101.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t1101.t2.a3))
% 11.51/11.76  (step t1101.t2.t24 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c2)) :rule trans :premises (t1101.t2.t18 t1101.t2.t19 t1101.t2.t22 t1101.t2.t23))
% 11.51/11.76  (step t1101.t2.t25 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule cong :premises (t1101.t2.t15 t1101.t2.t24))
% 11.51/11.76  (step t1101.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t1101.t2.a2))
% 11.51/11.76  (step t1101.t2.t27 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) tptp.sk_c11)) :rule trans :premises (t1101.t2.t9 t1101.t2.t12 t1101.t2.t14 t1101.t2.t25 t1101.t2.t26))
% 11.51/11.76  (step t1101.t2.t28 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1101.t2.t2 t1101.t2.t27))
% 11.51/11.76  (step t1101.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1101.t2.a0))
% 11.51/11.76  (step t1101.t2.t30 (cl (= tptp.sk_c11 tptp.identity)) :rule trans :premises (t1101.t2.a8 t1101.t2.t6 t1101.t2.t8 t1101.t2.t28 t1101.t2.t29))
% 11.51/11.76  (step t1101.t2.t31 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.identity))) :rule cong :premises (t1101.t2.t30))
% 11.51/11.76  (step t1101.t2.t32 (cl (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule trans :premises (t1101.t2.t2 t1101.t2.t31))
% 11.51/11.76  (step t1101.t2 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule subproof :discharge (t1101.t2.a0 t1101.t2.a1 t1101.t2.a2 t1101.t2.a3 t1101.t2.a4 t1101.t2.a5 t1101.t2.a6 t1101.t2.a7 t1101.t2.a8 t1101.t2.a9))
% 11.51/11.76  (step t1101.t3 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1101.t4 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1101.t5 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1101.t6 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1101.t7 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1101.t8 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.76  (step t1101.t9 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1101.t10 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1101.t11 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1101.t12 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1101.t13 (cl (= tptp.sk_c10 (tptp.inverse tptp.identity)) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t1101.t2 t1101.t3 t1101.t4 t1101.t5 t1101.t6 t1101.t7 t1101.t8 t1101.t9 t1101.t10 t1101.t11 t1101.t12))
% 11.51/11.76  (step t1101.t14 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule reordering :premises (t1101.t13))
% 11.51/11.76  (step t1101.t15 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule contraction :premises (t1101.t14))
% 11.51/11.76  (step t1101.t16 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule resolution :premises (t1101.t1 t1101.t15))
% 11.51/11.76  (step t1101.t17 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 11.51/11.76  (step t1101.t18 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule resolution :premises (t1101.t16 t1101.t17))
% 11.51/11.76  (step t1101.t19 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule contraction :premises (t1101.t18))
% 11.51/11.76  (step t1101.t20 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule implies :premises (t1101.t19))
% 11.51/11.76  (step t1101.t21 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule and_neg)
% 11.51/11.76  (step t1101.t22 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule resolution :premises (t1101.t21 t1101.a4 t1101.a0 t1101.a1 t1101.a5 t1101.a6 t1101.a7 t1101.a2 t1101.a8 t1101.a3 t1101.a9))
% 11.51/11.76  (step t1101.t23 (cl (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule resolution :premises (t1101.t20 t1101.t22))
% 11.51/11.76  (step t1101 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse 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.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule subproof :discharge (t1101.a0 t1101.a1 t1101.a2 t1101.a3 t1101.a4 t1101.a5 t1101.a6 t1101.a7 t1101.a8 t1101.a9))
% 11.51/11.76  (step t1102 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1103 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1104 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1105 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1106 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1107 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1108 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.76  (step t1109 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.76  (step t1110 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1111 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1112 (cl (= tptp.sk_c10 (tptp.inverse tptp.identity)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))))) :rule resolution :premises (t1101 t1102 t1103 t1104 t1105 t1106 t1107 t1108 t1109 t1110 t1111))
% 11.51/11.76  (step t1113 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule reordering :premises (t1112))
% 11.51/11.76  (step t1114 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule contraction :premises (t1113))
% 11.51/11.76  (step t1115 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule resolution :premises (t1100 t1114))
% 11.51/11.76  (step t1116 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 11.51/11.76  (step t1117 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule resolution :premises (t1115 t1116))
% 11.51/11.76  (step t1118 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity)))) :rule contraction :premises (t1117))
% 11.51/11.76  (step t1119 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule implies :premises (t1118))
% 11.51/11.76  (step t1120 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse 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.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.identity))) :rule resolution :premises (t1099 t1119))
% 11.51/11.76  (step t1121 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse 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.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule resolution :premises (t875 t883 t891 t600 t500 t818 t608 t616 t624 t632 t826 t275 t299 t899 t907 t640 t361 t369 t377 t909 t916 t176 t1017 t1024 t1026 t1056 t1086 t1098 t1120))
% 11.51/11.76  (step t1122 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) :rule contraction :premises (t1121))
% 11.51/11.76  (step t1123 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (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))))) :rule resolution :premises (t1122 t368 t376 t631))
% 11.51/11.76  (step t1124 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule contraction :premises (t1123))
% 11.51/11.76  (step t1125 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule resolution :premises (t1124 t360 t623))
% 11.51/11.76  (step t1126 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule contraction :premises (t1125))
% 11.51/11.76  (step t1127 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (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 $$unsorted) (Y $$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 $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) :rule resolution :premises (t1126 t607 t599 t639 t298 t274 t825 t817 t615 t499))
% 11.51/11.76  (step t1128 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (forall ((X $$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 (t1127))
% 11.51/11.76  (step t1129 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t1128 t328 t309 a2))
% 11.51/11.76  (step t1130 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t839 t1129))
% 11.51/11.76  (step t1131 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule contraction :premises (t1130))
% 11.51/11.76  (step t1132 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1133)
% 11.51/11.76  (assume t1133.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.76  (assume t1133.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.51/11.76  (assume t1133.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (assume t1133.a3 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1133.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.51/11.76  (assume t1133.a5 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.76  (assume t1133.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.76  (assume t1133.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.76  (assume t1133.a8 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.51/11.76  (assume t1133.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.51/11.76  (assume t1133.a10 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.51/11.76  (assume t1133.a11 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.51/11.76  (assume t1133.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.76  (assume t1133.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.76  (assume t1133.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.76  (assume t1133.a15 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.76  (assume t1133.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.76  (assume t1133.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.76  (assume t1133.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.76  (assume t1133.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1133.a20 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1133.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))
% 11.51/11.76  (assume t1133.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))
% 11.51/11.76  (assume t1133.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.51/11.76  (assume t1133.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))
% 11.51/11.76  (step t1133.t1 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.51/11.76  (anchor :step t1133.t2)
% 11.51/11.76  (assume t1133.t2.a0 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.51/11.76  (assume t1133.t2.a1 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.51/11.76  (assume t1133.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.76  (assume t1133.t2.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.76  (assume t1133.t2.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.76  (assume t1133.t2.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1133.t2.a6 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.76  (assume t1133.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.76  (assume t1133.t2.a8 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.76  (assume t1133.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.76  (assume t1133.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.76  (assume t1133.t2.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.76  (assume t1133.t2.a12 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.76  (assume t1133.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.76  (assume t1133.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.76  (assume t1133.t2.a15 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.76  (assume t1133.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.76  (assume t1133.t2.a17 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.51/11.76  (assume t1133.t2.a18 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.51/11.76  (assume t1133.t2.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))
% 11.51/11.76  (assume t1133.t2.a20 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.51/11.76  (assume t1133.t2.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))
% 11.51/11.76  (assume t1133.t2.a22 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.51/11.76  (assume t1133.t2.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.51/11.76  (assume t1133.t2.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))
% 11.51/11.76  (step t1133.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1133.t2.a3))
% 11.51/11.76  (step t1133.t2.t2 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t1133.t2.t1))
% 11.51/11.76  (step t1133.t2.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.76  (step t1133.t2.t4 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1133.t2.t2 t1133.t2.t3))
% 11.51/11.76  (step t1133.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1133.t2.a2))
% 11.51/11.76  (step t1133.t2.t6 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule trans :premises (t1133.t2.t4 t1133.t2.t5))
% 11.51/11.76  (step t1133.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t1133.t2.t6 t1133.t2.t3))
% 11.51/11.76  (step t1133.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1133.t2.t7))
% 11.51/11.76  (step t1133.t2.t9 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.76  (step t1133.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t1133.t2.a11))
% 11.51/11.76  (step t1133.t2.t11 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t1133.t2.t10))
% 11.51/11.76  (step t1133.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1133.t2.a10))
% 11.51/11.76  (step t1133.t2.t13 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t1133.t2.t12))
% 11.51/11.76  (step t1133.t2.t14 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.76  (step t1133.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule cong :premises (t1133.t2.t13 t1133.t2.t14))
% 11.51/11.76  (step t1133.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t1133.t2.a9))
% 11.51/11.76  (step t1133.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule symm :premises (t1133.t2.t16))
% 11.51/11.76  (step t1133.t2.t18 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t1133.t2.a8))
% 11.51/11.76  (step t1133.t2.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t1133.t2.a6))
% 11.51/11.76  (step t1133.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule cong :premises (t1133.t2.t18 t1133.t2.t19))
% 11.51/11.76  (step t1133.t2.t21 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t1133.t2.t11 t1133.t2.t15 t1133.t2.t17 t1133.t2.t20))
% 11.51/11.76  (step t1133.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t1133.t2.t9 t1133.t2.t21))
% 11.51/11.76  (step t1133.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1133.t2.a7))
% 11.51/11.76  (step t1133.t2.t24 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c11))) :rule trans :premises (t1133.t2.t19 t1133.t2.a4))
% 11.51/11.76  (step t1133.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1133.t2.t24 t1133.t2.t3))
% 11.51/11.76  (step t1133.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1133.t2.a4))
% 11.51/11.76  (step t1133.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t1133.t2.t26 t1133.t2.t3))
% 11.51/11.76  (step t1133.t2.t28 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule trans :premises (t1133.t2.a6 t1133.t2.t22 t1133.t2.t23 t1133.t2.t25 t1133.t2.t27))
% 11.51/11.76  (step t1133.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t1133.t2.t1 t1133.t2.t28))
% 11.51/11.76  (step t1133.t2.t30 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1133.t2.t29))
% 11.51/11.76  (step t1133.t2.t31 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.51/11.76  (step t1133.t2.t32 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.51/11.76  (step t1133.t2.t33 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t1133.t2.t32 t1133.t2.a18))
% 11.51/11.76  (step t1133.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1133.t2.a18))
% 11.51/11.76  (step t1133.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1133.t2.a20))
% 11.51/11.76  (step t1133.t2.t36 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t1133.t2.t35))
% 11.51/11.76  (step t1133.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.identity tptp.identity))) :rule trans :premises (t1133.t2.t34 t1133.t2.t36))
% 11.51/11.76  (step t1133.t2.t38 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule cong :premises (t1133.t2.t32 t1133.t2.t37))
% 11.51/11.76  (step t1133.t2.t39 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity))) :rule symm :premises (t1133.t2.a19))
% 11.51/11.76  (step t1133.t2.t40 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1133.t2.a5))
% 11.51/11.76  (step t1133.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) :rule trans :premises (t1133.t2.t34 t1133.t2.a2 t1133.t2.t29 t1133.t2.t40 t1133.t2.t7 t1133.t2.t26))
% 11.51/11.76  (step t1133.t2.t42 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t1133.t2.t32 t1133.t2.t41))
% 11.51/11.76  (step t1133.t2.t43 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1133.t2.a17))
% 11.51/11.76  (step t1133.t2.t44 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t1133.t2.a14))
% 11.51/11.76  (step t1133.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t1133.t2.t44))
% 11.51/11.76  (step t1133.t2.t46 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t1133.t2.a4 t1133.t2.t6))
% 11.51/11.76  (step t1133.t2.t47 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.51/11.76  (step t1133.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule cong :premises (t1133.t2.t26 t1133.t2.t47))
% 11.51/11.76  (step t1133.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t1133.t2.t45 t1133.t2.t46 t1133.t2.t48))
% 11.51/11.76  (step t1133.t2.t50 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t1133.t2.t49))
% 11.51/11.76  (step t1133.t2.t51 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule refl)
% 11.51/11.76  (step t1133.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t1133.t2.t51 t1133.t2.t28))
% 11.51/11.76  (step t1133.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1133.t2.a15))
% 11.51/11.76  (step t1133.t2.t54 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule cong :premises (t1133.t2.t49 t1133.t2.t3))
% 11.51/11.76  (step t1133.t2.t55 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule symm :premises (t1133.t2.a13))
% 11.51/11.76  (step t1133.t2.t56 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t1133.t2.t55))
% 11.51/11.76  (step t1133.t2.t57 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t1133.t2.t3 t1133.t2.t26))
% 11.51/11.76  (step t1133.t2.t58 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1133.t2.t27))
% 11.51/11.76  (step t1133.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1133.t2.t25))
% 11.51/11.76  (step t1133.t2.t60 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule symm :premises (t1133.t2.t22))
% 11.51/11.76  (step t1133.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t1133.t2.t52 t1133.t2.t53 t1133.t2.t54 t1133.t2.t56 t1133.t2.t57 t1133.t2.t58 t1133.t2.t59 t1133.t2.a7 t1133.t2.t60 t1133.t2.t19 t1133.t2.a4 t1133.t2.t8 t1133.t2.a5 t1133.t2.t30 t1133.t2.t5))
% 11.51/11.76  (step t1133.t2.t62 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) tptp.identity)) :rule trans :premises (t1133.t2.t50 t1133.t2.t61))
% 11.51/11.76  (step t1133.t2.t63 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.51/11.76  (step t1133.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t1133.t2.t62 t1133.t2.t63))
% 11.51/11.76  (step t1133.t2.t65 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t1133.t2.t64))
% 11.51/11.76  (step t1133.t2.t66 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t1133.t2.t3 t1133.t2.a12))
% 11.51/11.76  (step t1133.t2.t67 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t1133.t2.t66))
% 11.51/11.76  (step t1133.t2.t68 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t1133.t2.t33 t1133.t2.t42 t1133.t2.t43 t1133.t2.a12 t1133.t2.t65 t1133.t2.a16 t1133.t2.t67))
% 11.51/11.76  (step t1133.t2.t69 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t1133.t2.a16))
% 11.51/11.76  (step t1133.t2.t70 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1133.t2.a12))
% 11.51/11.76  (step t1133.t2.t71 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t1133.t2.t66 t1133.t2.t69 t1133.t2.t64 t1133.t2.t70))
% 11.51/11.76  (step t1133.t2.t72 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) tptp.sk_c10)) :rule trans :premises (t1133.t2.t68 t1133.t2.t71))
% 11.51/11.76  (step t1133.t2.t73 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t1133.t2.t72 t1133.t2.t47))
% 11.51/11.76  (step t1133.t2.t74 (cl (= tptp.identity tptp.sk_c11)) :rule trans :premises (t1133.t2.a2 t1133.t2.t29 t1133.t2.t40 t1133.t2.t7 t1133.t2.t26))
% 11.51/11.76  (step t1133.t2.t75 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1133.t2.t2 t1133.t2.t74))
% 11.51/11.76  (step t1133.t2.t76 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity)) :rule trans :premises (t1133.t2.t33 t1133.t2.t38 t1133.t2.t39 t1133.t2.t73 t1133.t2.t75 t1133.t2.t5))
% 11.51/11.76  (step t1133.t2.t77 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.51/11.76  (step t1133.t2.t78 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t1133.t2.t76 t1133.t2.t77))
% 11.51/11.76  (step t1133.t2.t79 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t1133.t2.t78))
% 11.51/11.76  (step t1133.t2.t80 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t1133.t2.t72 t1133.t2.t77))
% 11.51/11.76  (step t1133.t2.t81 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t1133.t2.a1 t1133.t2.t79 t1133.t2.t80))
% 11.51/11.76  (step t1133.t2.t82 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t1133.t2.t31 t1133.t2.t81))
% 11.51/11.76  (step t1133.t2.t83 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t1133.t2.a24))
% 11.51/11.76  (step t1133.t2.t84 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule symm :premises (t1133.t2.t42))
% 11.51/11.76  (step t1133.t2.t85 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule trans :premises (t1133.t2.a17 t1133.t2.t84 t1133.t2.t38 t1133.t2.t39 t1133.t2.t73 t1133.t2.t75 t1133.t2.t5 t1133.t2.a18))
% 11.51/11.76  (step t1133.t2.t86 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t1133.t2.t31 t1133.t2.t85))
% 11.51/11.76  (step t1133.t2.t87 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t1133.t2.a23))
% 11.51/11.76  (step t1133.t2.t88 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t1133.t2.a22))
% 11.51/11.76  (step t1133.t2.t89 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t1133.t2.t88 t1133.t2.t32))
% 11.51/11.76  (step t1133.t2.t90 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t1133.t2.a0))
% 11.51/11.76  (step t1133.t2.t91 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c3)) :rule trans :premises (t1133.t2.t86 t1133.t2.t87 t1133.t2.t89 t1133.t2.t90))
% 11.51/11.76  (step t1133.t2.t92 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t1133.t2.t32 t1133.t2.a1))
% 11.51/11.76  (step t1133.t2.t93 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t1133.t2.a21))
% 11.51/11.76  (step t1133.t2.t94 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1133.t2.a1))
% 11.51/11.76  (step t1133.t2.t95 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule trans :premises (t1133.t2.t92 t1133.t2.t93 t1133.t2.t78 t1133.t2.t94))
% 11.51/11.76  (step t1133.t2.t96 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t1133.t2.t95))
% 11.51/11.76  (step t1133.t2.t97 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t1133.t2.t91 t1133.t2.t96))
% 11.51/11.76  (step t1133.t2.t98 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t1133.t2.a0 t1133.t2.t95))
% 11.51/11.76  (step t1133.t2.t99 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t1133.t2.t90 t1133.t2.t77))
% 11.51/11.76  (step t1133.t2.t100 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t1133.t2.a4 t1133.t2.t8 t1133.t2.a5 t1133.t2.t30 t1133.t2.t5 t1133.t2.a22 t1133.t2.t82 t1133.t2.t83 t1133.t2.t97 t1133.t2.t98 t1133.t2.t99))
% 11.51/11.76  (step t1133.t2 (cl (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t1133.t2.a0 t1133.t2.a1 t1133.t2.a2 t1133.t2.a3 t1133.t2.a4 t1133.t2.a5 t1133.t2.a6 t1133.t2.a7 t1133.t2.a8 t1133.t2.a9 t1133.t2.a10 t1133.t2.a11 t1133.t2.a12 t1133.t2.a13 t1133.t2.a14 t1133.t2.a15 t1133.t2.a16 t1133.t2.a17 t1133.t2.a18 t1133.t2.a19 t1133.t2.a20 t1133.t2.a21 t1133.t2.a22 t1133.t2.a23 t1133.t2.a24))
% 11.51/11.76  (step t1133.t3 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.51/11.76  (step t1133.t4 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.76  (step t1133.t5 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1133.t6 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1133.t7 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.76  (step t1133.t8 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1133.t9 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.76  (step t1133.t10 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.76  (step t1133.t11 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.77  (step t1133.t12 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.77  (step t1133.t13 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.77  (step t1133.t14 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.77  (step t1133.t15 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.77  (step t1133.t16 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1133.t17 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1133.t18 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1133.t19 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.77  (step t1133.t20 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1133.t21 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.51/11.77  (step t1133.t22 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 11.51/11.77  (step t1133.t23 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.51/11.77  (step t1133.t24 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.51/11.77  (step t1133.t25 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1133.t26 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1133.t27 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.51/11.77  (step t1133.t28 (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t1133.t2 t1133.t3 t1133.t4 t1133.t5 t1133.t6 t1133.t7 t1133.t8 t1133.t9 t1133.t10 t1133.t11 t1133.t12 t1133.t13 t1133.t14 t1133.t15 t1133.t16 t1133.t17 t1133.t18 t1133.t19 t1133.t20 t1133.t21 t1133.t22 t1133.t23 t1133.t24 t1133.t25 t1133.t26 t1133.t27))
% 11.51/11.77  (step t1133.t29 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t1133.t28))
% 11.51/11.77  (step t1133.t30 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t1133.t29))
% 11.51/11.77  (step t1133.t31 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= 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 (t1133.t1 t1133.t30))
% 11.51/11.77  (step t1133.t32 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= 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)
% 11.51/11.77  (step t1133.t33 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= 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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t1133.t31 t1133.t32))
% 11.51/11.77  (step t1133.t34 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t1133.t33))
% 11.51/11.77  (step t1133.t35 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t1133.t34))
% 11.51/11.77  (step t1133.t36 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.51/11.77  (step t1133.t37 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t1133.t36 t1133.a8 t1133.a10 t1133.a7 t1133.a0 t1133.a5 t1133.a19 t1133.a2 t1133.a18 t1133.a3 t1133.a17 t1133.a16 t1133.a15 t1133.a6 t1133.a12 t1133.a14 t1133.a20 t1133.a13 t1133.a1 t1133.a9 t1133.a21 t1133.a4 t1133.a22 t1133.a11 t1133.a23 t1133.a24))
% 11.51/11.77  (step t1133.t38 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1133.t35 t1133.t37))
% 11.51/11.77  (step t1133 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t1133.a0 t1133.a1 t1133.a2 t1133.a3 t1133.a4 t1133.a5 t1133.a6 t1133.a7 t1133.a8 t1133.a9 t1133.a10 t1133.a11 t1133.a12 t1133.a13 t1133.a14 t1133.a15 t1133.a16 t1133.a17 t1133.a18 t1133.a19 t1133.a20 t1133.a21 t1133.a22 t1133.a23 t1133.a24))
% 11.51/11.77  (step t1134 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1135 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1136 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.77  (step t1137 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.77  (step t1138 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.51/11.77  (step t1139 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1140 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.77  (step t1141 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1142 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.51/11.77  (step t1143 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.51/11.77  (step t1144 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1145 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1146 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1147 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.77  (step t1148 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1149 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.77  (step t1150 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.77  (step t1151 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.77  (step t1152 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1153 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1154 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1155 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 11.51/11.77  (step t1156 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.51/11.77  (step t1157 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1158 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.51/11.77  (step t1159 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t1133 t1134 t1135 t1136 t1137 t1138 t1139 t1140 t1141 t1142 t1143 t1144 t1145 t1146 t1147 t1148 t1149 t1150 t1151 t1152 t1153 t1154 t1155 t1156 t1157 t1158))
% 11.51/11.77  (step t1160 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t1159))
% 11.51/11.77  (step t1161 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t1160))
% 11.51/11.77  (step t1162 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= 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 (t1132 t1161))
% 11.51/11.77  (step t1163 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= 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)
% 11.51/11.77  (step t1164 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t1162 t1163))
% 11.51/11.77  (step t1165 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t1164))
% 11.51/11.77  (step t1166 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t1165))
% 11.51/11.77  (step t1167 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t532 t1166))
% 11.51/11.77  (step t1168 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) :rule and_neg)
% 11.51/11.77  (step t1169 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) :rule implies_neg1)
% 11.51/11.77  (anchor :step t1170)
% 11.51/11.77  (assume t1170.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.77  (assume t1170.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.51/11.77  (assume t1170.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.77  (assume t1170.a3 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.77  (assume t1170.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.51/11.77  (assume t1170.a5 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.77  (assume t1170.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.77  (assume t1170.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.77  (assume t1170.a8 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.51/11.77  (assume t1170.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.51/11.77  (assume t1170.a10 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.51/11.77  (assume t1170.a11 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.51/11.77  (assume t1170.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.77  (assume t1170.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.77  (assume t1170.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.77  (assume t1170.a15 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.77  (assume t1170.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.77  (assume t1170.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.77  (assume t1170.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.77  (assume t1170.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.77  (assume t1170.a20 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.77  (assume t1170.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.51/11.77  (assume t1170.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))
% 11.51/11.77  (assume t1170.a23 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))
% 11.51/11.77  (assume t1170.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.51/11.77  (assume t1170.a25 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.77  (step t1170.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= 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.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule implies_neg1)
% 11.51/11.77  (anchor :step t1170.t2)
% 11.51/11.77  (assume t1170.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.51/11.77  (assume t1170.t2.a1 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.51/11.77  (assume t1170.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.51/11.77  (assume t1170.t2.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))
% 11.51/11.77  (assume t1170.t2.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.77  (assume t1170.t2.a5 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)))
% 11.51/11.77  (assume t1170.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.51/11.77  (assume t1170.t2.a7 (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))
% 11.51/11.77  (assume t1170.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))))
% 11.51/11.77  (assume t1170.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.51/11.77  (assume t1170.t2.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.51/11.77  (assume t1170.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.51/11.77  (assume t1170.t2.a12 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.51/11.77  (assume t1170.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))))
% 11.51/11.77  (assume t1170.t2.a14 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.51/11.77  (assume t1170.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))
% 11.51/11.77  (assume t1170.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.77  (assume t1170.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))))
% 11.51/11.77  (assume t1170.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.51/11.77  (assume t1170.t2.a19 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.51/11.77  (assume t1170.t2.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))
% 11.51/11.77  (assume t1170.t2.a21 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.51/11.77  (assume t1170.t2.a22 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.51/11.77  (assume t1170.t2.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.51/11.77  (assume t1170.t2.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))
% 11.51/11.77  (assume t1170.t2.a25 (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.51/11.77  (step t1170.t2.t1 (cl (= (tptp.inverse tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1170.t2.a3))
% 11.51/11.77  (step t1170.t2.t2 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule symm :premises (t1170.t2.t1))
% 11.51/11.77  (step t1170.t2.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.51/11.77  (step t1170.t2.t4 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1170.t2.t2 t1170.t2.t3))
% 11.51/11.77  (step t1170.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1170.t2.a2))
% 11.51/11.77  (step t1170.t2.t6 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.identity)) :rule trans :premises (t1170.t2.t4 t1170.t2.t5))
% 11.51/11.77  (step t1170.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t1170.t2.t6 t1170.t2.t3))
% 11.51/11.77  (step t1170.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1170.t2.t7))
% 11.51/11.77  (step t1170.t2.t9 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.51/11.77  (step t1170.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t1170.t2.a10))
% 11.51/11.77  (step t1170.t2.t11 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t1170.t2.t10))
% 11.51/11.77  (step t1170.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1170.t2.a9))
% 11.51/11.77  (step t1170.t2.t13 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t1170.t2.t12))
% 11.51/11.77  (step t1170.t2.t14 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.51/11.77  (step t1170.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule cong :premises (t1170.t2.t13 t1170.t2.t14))
% 11.51/11.77  (step t1170.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2))) :rule symm :premises (t1170.t2.a8))
% 11.51/11.77  (step t1170.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule symm :premises (t1170.t2.t16))
% 11.51/11.77  (step t1170.t2.t18 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c2)) :rule symm :premises (t1170.t2.a7))
% 11.51/11.77  (step t1170.t2.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t1170.t2.a5))
% 11.51/11.77  (step t1170.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule cong :premises (t1170.t2.t18 t1170.t2.t19))
% 11.51/11.77  (step t1170.t2.t21 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t1170.t2.t11 t1170.t2.t15 t1170.t2.t17 t1170.t2.t20))
% 11.51/11.77  (step t1170.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t1170.t2.t9 t1170.t2.t21))
% 11.51/11.77  (step t1170.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1170.t2.a6))
% 11.51/11.77  (step t1170.t2.t24 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c11))) :rule trans :premises (t1170.t2.t19 t1170.t2.a1))
% 11.51/11.77  (step t1170.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1170.t2.t24 t1170.t2.t3))
% 11.51/11.77  (step t1170.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1170.t2.a1))
% 11.51/11.77  (step t1170.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t1170.t2.t26 t1170.t2.t3))
% 11.51/11.77  (step t1170.t2.t28 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule trans :premises (t1170.t2.a5 t1170.t2.t22 t1170.t2.t23 t1170.t2.t25 t1170.t2.t27))
% 11.51/11.77  (step t1170.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t1170.t2.t1 t1170.t2.t28))
% 11.51/11.77  (step t1170.t2.t30 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1170.t2.t29))
% 11.51/11.77  (step t1170.t2.t31 (cl (= tptp.sk_c11 tptp.identity)) :rule trans :premises (t1170.t2.a1 t1170.t2.t8 t1170.t2.a4 t1170.t2.t30 t1170.t2.t5))
% 11.51/11.77  (step t1170.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule cong :premises (t1170.t2.t1 t1170.t2.t31))
% 11.51/11.77  (step t1170.t2.t33 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t1170.t2.a16))
% 11.51/11.77  (step t1170.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule symm :premises (t1170.t2.t33))
% 11.51/11.77  (step t1170.t2.t35 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity))) :rule cong :premises (t1170.t2.a1 t1170.t2.t6))
% 11.51/11.77  (step t1170.t2.t36 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.51/11.77  (step t1170.t2.t37 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule cong :premises (t1170.t2.t26 t1170.t2.t36))
% 11.51/11.77  (step t1170.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.identity))) :rule trans :premises (t1170.t2.t34 t1170.t2.t35 t1170.t2.t37))
% 11.51/11.77  (step t1170.t2.t39 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t1170.t2.t38))
% 11.51/11.77  (step t1170.t2.t40 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule refl)
% 11.51/11.77  (step t1170.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule cong :premises (t1170.t2.t40 t1170.t2.t28))
% 11.51/11.77  (step t1170.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1170.t2.a17))
% 11.51/11.77  (step t1170.t2.t43 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule cong :premises (t1170.t2.t38 t1170.t2.t3))
% 11.51/11.77  (step t1170.t2.t44 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11))) :rule symm :premises (t1170.t2.a15))
% 11.51/11.77  (step t1170.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t1170.t2.t44))
% 11.51/11.77  (step t1170.t2.t46 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) :rule cong :premises (t1170.t2.t3 t1170.t2.t26))
% 11.51/11.77  (step t1170.t2.t47 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1170.t2.t27))
% 11.51/11.77  (step t1170.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1170.t2.t25))
% 11.51/11.77  (step t1170.t2.t49 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule symm :premises (t1170.t2.t22))
% 11.51/11.77  (step t1170.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.identity)) :rule trans :premises (t1170.t2.t41 t1170.t2.t42 t1170.t2.t43 t1170.t2.t45 t1170.t2.t46 t1170.t2.t47 t1170.t2.t48 t1170.t2.a6 t1170.t2.t49 t1170.t2.t19 t1170.t2.a1 t1170.t2.t8 t1170.t2.a4 t1170.t2.t30 t1170.t2.t5))
% 11.51/11.77  (step t1170.t2.t51 (cl (= (tptp.multiply tptp.sk_c11 tptp.identity) tptp.identity)) :rule trans :premises (t1170.t2.t39 t1170.t2.t50))
% 11.51/11.77  (step t1170.t2.t52 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.51/11.77  (step t1170.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t1170.t2.t51 t1170.t2.t52))
% 11.51/11.77  (step t1170.t2.t54 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t1170.t2.t53))
% 11.51/11.77  (step t1170.t2.t55 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t1170.t2.t3 t1170.t2.a14))
% 11.51/11.77  (step t1170.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t1170.t2.t55))
% 11.51/11.77  (step t1170.t2.t57 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t1170.t2.a14 t1170.t2.t54 t1170.t2.a18 t1170.t2.t56))
% 11.51/11.77  (step t1170.t2.t58 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10))) :rule symm :premises (t1170.t2.a18))
% 11.51/11.77  (step t1170.t2.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1170.t2.a14))
% 11.51/11.77  (step t1170.t2.t60 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.51/11.77  (step t1170.t2.t61 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1170.t2.a11))
% 11.51/11.77  (step t1170.t2.t62 (cl (= (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1170.t2.a4))
% 11.51/11.77  (step t1170.t2.t63 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) :rule trans :premises (t1170.t2.t61 t1170.t2.a2 t1170.t2.t29 t1170.t2.t62 t1170.t2.t7 t1170.t2.t26))
% 11.51/11.77  (step t1170.t2.t64 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t1170.t2.t60 t1170.t2.t63))
% 11.51/11.77  (step t1170.t2.t65 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule symm :premises (t1170.t2.t64))
% 11.51/11.77  (step t1170.t2.t66 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 tptp.identity))) :rule cong :premises (t1170.t2.t60 t1170.t2.t61))
% 11.51/11.77  (step t1170.t2.t67 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c3 tptp.identity))) :rule trans :premises (t1170.t2.t55 t1170.t2.t58 t1170.t2.t53 t1170.t2.t59 t1170.t2.a0 t1170.t2.t65 t1170.t2.t66))
% 11.51/11.77  (step t1170.t2.t68 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.identity))) :rule trans :premises (t1170.t2.t57 t1170.t2.t67))
% 11.51/11.77  (step t1170.t2.t69 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity))) :rule cong :premises (t1170.t2.t68 t1170.t2.t36))
% 11.51/11.77  (step t1170.t2.t70 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity))) :rule symm :premises (t1170.t2.a13))
% 11.51/11.77  (step t1170.t2.t71 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule symm :premises (t1170.t2.t70))
% 11.51/11.77  (step t1170.t2.t72 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1170.t2.a12))
% 11.51/11.77  (step t1170.t2.t73 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t1170.t2.t72))
% 11.51/11.77  (step t1170.t2.t74 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1170.t2.t73))
% 11.51/11.77  (step t1170.t2.t75 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule trans :premises (t1170.t2.t74 t1170.t2.a11))
% 11.51/11.77  (step t1170.t2.t76 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t1170.t2.t60 t1170.t2.t75))
% 11.51/11.77  (step t1170.t2.t77 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t1170.t2.a25))
% 11.51/11.77  (step t1170.t2.t78 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t1170.t2.t60 t1170.t2.a19))
% 11.51/11.77  (step t1170.t2.t79 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t1170.t2.a20))
% 11.51/11.77  (step t1170.t2.t80 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule symm :premises (t1170.t2.t66))
% 11.51/11.77  (step t1170.t2.t81 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule symm :premises (t1170.t2.t76))
% 11.51/11.77  (step t1170.t2.t82 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c10 tptp.identity))) :rule symm :premises (t1170.t2.t69))
% 11.51/11.77  (step t1170.t2.t83 (cl (= (tptp.multiply tptp.sk_c10 tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1170.t2.t32))
% 11.51/11.77  (step t1170.t2.t84 (cl (= (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity)) :rule trans :premises (t1170.t2.t80 t1170.t2.t81 t1170.t2.t70 t1170.t2.t82 t1170.t2.t83 t1170.t2.t5))
% 11.51/11.77  (step t1170.t2.t85 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.51/11.77  (step t1170.t2.t86 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t1170.t2.t84 t1170.t2.t85))
% 11.51/11.77  (step t1170.t2.t87 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1170.t2.a19))
% 11.51/11.77  (step t1170.t2.t88 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule trans :premises (t1170.t2.t78 t1170.t2.t79 t1170.t2.t86 t1170.t2.t87))
% 11.51/11.77  (step t1170.t2.t89 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t1170.t2.a22))
% 11.51/11.77  (step t1170.t2.t90 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t1170.t2.t89 t1170.t2.t60))
% 11.51/11.77  (step t1170.t2.t91 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t1170.t2.t90))
% 11.51/11.77  (step t1170.t2.t92 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.51/11.77  (step t1170.t2.t93 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule symm :premises (t1170.t2.t4))
% 11.51/11.77  (step t1170.t2.t94 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) :rule trans :premises (t1170.t2.t61 t1170.t2.a2 t1170.t2.t93))
% 11.51/11.77  (step t1170.t2.t95 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule cong :premises (t1170.t2.t92 t1170.t2.t94))
% 11.51/11.77  (step t1170.t2.t96 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11))) :rule symm :premises (t1170.t2.a24))
% 11.51/11.77  (step t1170.t2.t97 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule trans :premises (t1170.t2.a0 t1170.t2.t65 t1170.t2.t81 t1170.t2.t70 t1170.t2.t82 t1170.t2.t83 t1170.t2.t5 t1170.t2.a11))
% 11.51/11.77  (step t1170.t2.t98 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t1170.t2.t92 t1170.t2.t97))
% 11.51/11.77  (step t1170.t2.t99 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t1170.t2.a23))
% 11.51/11.77  (step t1170.t2.t100 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t1170.t2.a21))
% 11.51/11.77  (step t1170.t2.t101 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c3)) :rule trans :premises (t1170.t2.t98 t1170.t2.t99 t1170.t2.t90 t1170.t2.t100))
% 11.51/11.77  (step t1170.t2.t102 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t1170.t2.t63))
% 11.51/11.77  (step t1170.t2.t103 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule cong :premises (t1170.t2.t101 t1170.t2.t102))
% 11.51/11.77  (step t1170.t2.t104 (cl (= tptp.sk_c3 tptp.identity)) :rule trans :premises (t1170.t2.a21 t1170.t2.t91 t1170.t2.a23 t1170.t2.t95 t1170.t2.t96 t1170.t2.t103 t1170.t2.t81 t1170.t2.t70 t1170.t2.t82 t1170.t2.t83 t1170.t2.t5))
% 11.51/11.77  (step t1170.t2.t105 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity))) :rule cong :premises (t1170.t2.t88 t1170.t2.t104))
% 11.51/11.77  (step t1170.t2.t106 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1170.t2.a0))
% 11.51/11.77  (step t1170.t2.t107 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t1170.t2.a2 t1170.t2.t32 t1170.t2.t69 t1170.t2.t71 t1170.t2.t76 t1170.t2.t64 t1170.t2.t106))
% 11.51/11.77  (step t1170.t2.t108 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t1170.t2.t85 t1170.t2.t107))
% 11.51/11.77  (step t1170.t2.t109 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule trans :premises (t1170.t2.a1 t1170.t2.t8 t1170.t2.a4 t1170.t2.t30 t1170.t2.t32 t1170.t2.t69 t1170.t2.t71 t1170.t2.t76 t1170.t2.t77 t1170.t2.t105 t1170.t2.t108))
% 11.51/11.77  (step t1170.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule subproof :discharge (t1170.t2.a0 t1170.t2.a1 t1170.t2.a2 t1170.t2.a3 t1170.t2.a4 t1170.t2.a5 t1170.t2.a6 t1170.t2.a7 t1170.t2.a8 t1170.t2.a9 t1170.t2.a10 t1170.t2.a11 t1170.t2.a12 t1170.t2.a13 t1170.t2.a14 t1170.t2.a15 t1170.t2.a16 t1170.t2.a17 t1170.t2.a18 t1170.t2.a19 t1170.t2.a20 t1170.t2.a21 t1170.t2.a22 t1170.t2.a23 t1170.t2.a24 t1170.t2.a25))
% 11.51/11.77  (step t1170.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1170.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1170.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1170.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1170.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1170.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.77  (step t1170.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1170.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.77  (step t1170.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.77  (step t1170.t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.77  (step t1170.t13 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.77  (step t1170.t14 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.51/11.77  (step t1170.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.51/11.77  (step t1170.t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 11.51/11.77  (step t1170.t17 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.77  (step t1170.t18 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1170.t19 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1170.t20 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1170.t21 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.77  (step t1170.t22 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1170.t23 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.51/11.77  (step t1170.t24 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.51/11.77  (step t1170.t25 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1170.t26 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1170.t27 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1170.t28 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1170.t29 (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.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))))) :rule resolution :premises (t1170.t2 t1170.t3 t1170.t4 t1170.t5 t1170.t6 t1170.t7 t1170.t8 t1170.t9 t1170.t10 t1170.t11 t1170.t12 t1170.t13 t1170.t14 t1170.t15 t1170.t16 t1170.t17 t1170.t18 t1170.t19 t1170.t20 t1170.t21 t1170.t22 t1170.t23 t1170.t24 t1170.t25 t1170.t26 t1170.t27 t1170.t28))
% 11.51/11.77  (step t1170.t30 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule reordering :premises (t1170.t29))
% 11.51/11.77  (step t1170.t31 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule contraction :premises (t1170.t30))
% 11.51/11.77  (step t1170.t32 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= 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 (t1170.t1 t1170.t31))
% 11.51/11.77  (step t1170.t33 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= 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)
% 11.51/11.77  (step t1170.t34 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= 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.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule resolution :premises (t1170.t32 t1170.t33))
% 11.51/11.77  (step t1170.t35 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule contraction :premises (t1170.t34))
% 11.51/11.77  (step t1170.t36 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule implies :premises (t1170.t35))
% 11.51/11.77  (step t1170.t37 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule and_neg)
% 11.51/11.77  (step t1170.t38 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule resolution :premises (t1170.t37 t1170.a1 t1170.a5 t1170.a7 t1170.a0 t1170.a19 t1170.a2 t1170.a18 t1170.a3 t1170.a17 t1170.a16 t1170.a15 t1170.a9 t1170.a4 t1170.a22 t1170.a6 t1170.a12 t1170.a14 t1170.a20 t1170.a13 t1170.a10 t1170.a23 t1170.a8 t1170.a11 t1170.a24 t1170.a25 t1170.a21))
% 11.51/11.77  (step t1170.t39 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule resolution :premises (t1170.t36 t1170.t38))
% 11.51/11.77  (step t1170 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule subproof :discharge (t1170.a0 t1170.a1 t1170.a2 t1170.a3 t1170.a4 t1170.a5 t1170.a6 t1170.a7 t1170.a8 t1170.a9 t1170.a10 t1170.a11 t1170.a12 t1170.a13 t1170.a14 t1170.a15 t1170.a16 t1170.a17 t1170.a18 t1170.a19 t1170.a20 t1170.a21 t1170.a22 t1170.a23 t1170.a24 t1170.a25))
% 11.51/11.77  (step t1171 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1172 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1173 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) :rule and_pos)
% 11.51/11.77  (step t1174 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.51/11.77  (step t1175 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.51/11.77  (step t1176 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1177 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.51/11.77  (step t1178 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.51/11.77  (step t1179 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.51/11.77  (step t1180 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.51/11.77  (step t1181 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1182 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1183 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1184 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.51/11.77  (step t1185 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1186 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.51/11.77  (step t1187 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.51/11.77  (step t1188 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) :rule and_pos)
% 11.51/11.77  (step t1189 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1190 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1191 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1192 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1193 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 11.51/11.77  (step t1194 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.51/11.77  (step t1195 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.51/11.77  (step t1196 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule and_pos)
% 11.51/11.77  (step t1197 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))))) :rule resolution :premises (t1170 t1171 t1172 t1173 t1174 t1175 t1176 t1177 t1178 t1179 t1180 t1181 t1182 t1183 t1184 t1185 t1186 t1187 t1188 t1189 t1190 t1191 t1192 t1193 t1194 t1195 t1196))
% 11.51/11.77  (step t1198 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule reordering :premises (t1197))
% 11.51/11.77  (step t1199 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule contraction :premises (t1198))
% 11.51/11.77  (step t1200 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 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 (t1169 t1199))
% 11.51/11.77  (step t1201 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 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)
% 11.51/11.77  (step t1202 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule resolution :premises (t1200 t1201))
% 11.51/11.77  (step t1203 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule contraction :premises (t1202))
% 11.51/11.77  (step t1204 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule implies :premises (t1203))
% 11.51/11.77  (step t1205 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity 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.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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_c2) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c11) tptp.sk_c11) (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.identity) (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule resolution :premises (t1168 t1204))
% 11.51/11.77  (step t1206 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.51/11.77  (anchor :step t1207)
% 11.51/11.77  (assume t1207.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.51/11.77  (step t1207.t1 (cl (or (not (forall ((X $$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.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.inverse tptp.sk_c3))) (:= Y tptp.sk_c10) (:= Z tptp.sk_c11)))
% 11.51/11.77  (step t1207.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule or :premises (t1207.t1))
% 11.51/11.77  (step t1207.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule resolution :premises (t1207.t2 t1207.a0))
% 11.51/11.77  (step t1207 (cl (not (forall ((X $$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.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule subproof :discharge (t1207.a0))
% 11.51/11.77  (step t1208 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule resolution :premises (t1206 t1207))
% 11.51/11.77  (step t1209 (cl (=> (forall ((X $$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.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) :rule implies_neg2)
% 11.51/11.77  (step t1210 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) (=> (forall ((X $$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.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) :rule resolution :premises (t1208 t1209))
% 11.51/11.77  (step t1211 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11))))) :rule contraction :premises (t1210))
% 11.51/11.77  (step t1212 (cl (not (forall ((X $$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.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule implies :premises (t1211))
% 11.51/11.77  (step t1213 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) tptp.sk_c10) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c10 tptp.sk_c11)))) :rule resolution :premises (t1212 a2))
% 11.51/11.77  (step t1214 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.51/11.77  (anchor :step t1215)
% 11.51/11.77  (assume t1215.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.51/11.77  (step t1215.t1 (cl (or (not (forall ((X $$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_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule forall_inst :args ((:= X tptp.sk_c3) (:= Y (tptp.inverse tptp.sk_c3)) (:= Z tptp.sk_c3)))
% 11.51/11.77  (step t1215.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule or :premises (t1215.t1))
% 11.51/11.77  (step t1215.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t1215.t2 t1215.a0))
% 11.51/11.77  (step t1215 (cl (not (forall ((X $$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_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule subproof :discharge (t1215.a0))
% 11.51/11.77  (step t1216 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t1214 t1215))
% 11.51/11.77  (step t1217 (cl (=> (forall ((X $$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_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule implies_neg2)
% 11.51/11.77  (step t1218 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (=> (forall ((X $$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_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule resolution :premises (t1216 t1217))
% 11.51/11.77  (step t1219 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule contraction :premises (t1218))
% 11.51/11.77  (step t1220 (cl (not (forall ((X $$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_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies :premises (t1219))
% 11.51/11.77  (step t1221 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t1220 a2))
% 11.51/11.77  (step t1222 (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t199 t1167 t576 t259 t584 t592 t600 t500 t608 t616 t624 t632 t275 t299 t640 t318 t329 t337 t353 t361 t369 t377 t385 t1205 t1213 t259 t584 t592 t1221 t600 t500 t608 t616 t624 t632 t275 t299 t640 t318 t329 t337 t353 t361 t369 t377 t385))
% 11.51/11.77  (step t1223 (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1222))
% 11.51/11.77  (step t1224 (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1223 t772 t1131))
% 11.51/11.77  (step t1225 (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.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1224))
% 11.51/11.77  (step t1226 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (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)))))) :rule reordering :premises (t1225))
% 11.51/11.77  (step t1227 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t774 t1131 t1226))
% 11.51/11.77  (step t1228 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1227))
% 11.51/11.77  (step t1229 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (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))))) (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.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.sk_c10 (tptp.inverse 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.inverse 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_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t176 t190 t183 t201 t199 t243 t251 t259 t267 t275 t283 t291 t299 t310 t318 t329 t337 t345 t353 t361 t369 t377 t385 t492 t251 t259 t267 t500 t275 t283 t291 t299 t318 t329 t337 t353 t361 t369 t377 t462 t251 t259 t267 t275 t283 t291 t318 t329 t337 t353 t361 t377))
% 11.51/11.77  (step t1230 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (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))))) (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.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)))) :rule contraction :premises (t1229))
% 11.51/11.77  (step t1231 (cl (not (= tptp.sk_c10 (tptp.inverse 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.inverse 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.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)))) :rule resolution :premises (t1230 t435 t251 t259 t267 t275 t283 t299 t318 t329 t337 t353 t361 t369 t377 t407 t251 t329 t337 t353 t197 t208 t387 t502))
% 11.51/11.77  (step t1232 (cl (not (= tptp.sk_c10 (tptp.inverse 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)))) :rule contraction :premises (t1231))
% 11.51/11.77  (step t1233 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c2 (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_c2) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule equiv_pos2)
% 11.51/11.77  (step t1234 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 11.51/11.77  (step t1235 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t1234 t525))
% 11.51/11.77  (step t1236 (cl (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t1233 t1235 a23))
% 11.51/11.77  (step t1237 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule or :premises (t1236))
% 11.51/11.77  (step t1238 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1237))
% 11.51/11.77  (step t1239 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c2 (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_c2) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.51/11.77  (step t1240 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t1234 t513))
% 11.51/11.77  (step t1241 (cl (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t1239 t1240 a25))
% 11.51/11.77  (step t1242 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t1241))
% 11.51/11.77  (step t1243 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1242))
% 11.51/11.77  (step t1244 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.51/11.77  (step t1245 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t1234 t519))
% 11.51/11.77  (step t1246 (cl (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t1244 t1245 a26))
% 11.51/11.77  (step t1247 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t1246))
% 11.51/11.77  (step t1248 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1247))
% 11.51/11.77  (step t1249 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.51/11.77  (step t1250 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c2) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t1234 t507))
% 11.51/11.77  (step t1251 (cl (or (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1249 t1250 a24))
% 11.51/11.77  (step t1252 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t1251))
% 11.51/11.77  (step t1253 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1252))
% 11.51/11.77  (step t1254 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t1232 t1238 t1243 t1248 t1253))
% 11.51/11.77  (step t1255 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (= tptp.sk_c2 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t1254))
% 11.51/11.77  (step t1256 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule reordering :premises (t1255))
% 11.51/11.77  (step t1257 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule resolution :premises (t531 t1228 t1256))
% 11.51/11.77  (step t1258 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)))) :rule contraction :premises (t1257))
% 11.51/11.77  (step t1259 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) :rule resolution :premises (t157 t1258))
% 11.51/11.77  (step t1260 (cl (not (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) :rule equiv_pos2)
% 11.51/11.77  (step t1261 (cl (= (= (tptp.inverse tptp.sk_c6) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) :rule all_simplify)
% 11.51/11.77  (step t1262 (cl (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t153 t1261))
% 11.51/11.77  (step t1263 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t1260 t1262 a11))
% 11.51/11.77  (step t1264 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) :rule or :premises (t1263))
% 11.51/11.77  (step t1265 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t1264 t1258))
% 11.51/11.77  (step t1266 (cl (not (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) (not (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule equiv_pos2)
% 11.51/11.77  (step t1267 (cl (= (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule all_simplify)
% 11.51/11.77  (step t1268 (cl (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t153 t1267))
% 11.51/11.77  (step t1269 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t1266 t1268 a10))
% 11.51/11.77  (step t1270 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule or :premises (t1269))
% 11.51/11.77  (step t1271 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t1270 t1258))
% 11.51/11.77  (step t1272 (cl (not (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule equiv_pos2)
% 11.51/11.77  (step t1273 (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)
% 11.51/11.77  (step t1274 (cl (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule cong :premises (t153 t1273))
% 11.51/11.77  (step t1275 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t1272 t1274 a9))
% 11.51/11.77  (step t1276 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule or :premises (t1275))
% 11.51/11.77  (step t1277 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule resolution :premises (t1276 t1258))
% 11.51/11.77  (step t1278 (cl (not (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.51/11.77  (step t1279 (cl (= (= (tptp.inverse tptp.sk_c5) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule all_simplify)
% 11.51/11.77  (step t1280 (cl (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t153 t1279))
% 11.51/11.77  (step t1281 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t1278 t1280 a8))
% 11.51/11.77  (step t1282 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t1281))
% 11.51/11.77  (step t1283 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t1282 t1258))
% 11.51/11.77  (step t1284 (cl (not (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.51/11.77  (step t1285 (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)
% 11.51/11.77  (step t1286 (cl (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t153 t1285))
% 11.51/11.77  (step t1287 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t1284 t1286 a7))
% 11.51/11.77  (step t1288 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t1287))
% 11.51/11.77  (step t1289 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule resolution :premises (t1288 t1258))
% 11.51/11.77  (step t1290 (cl (not (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.51/11.77  (step t1291 (cl (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t153 t507))
% 11.51/11.77  (step t1292 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1290 t1291 a4))
% 11.51/11.77  (step t1293 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t1292))
% 11.51/11.77  (step t1294 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t1293 t1258))
% 11.51/11.77  (step t1295 (cl (not (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule equiv_pos2)
% 11.51/11.77  (step t1296 (cl (= (or (= (tptp.inverse tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t153 t525))
% 11.51/11.77  (step t1297 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t1295 t1296 a3))
% 11.51/11.77  (step t1298 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule or :premises (t1297))
% 11.51/11.77  (step t1299 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule resolution :premises (t1298 t1258))
% 11.51/11.77  (step t1300 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.51/11.77  (anchor :step t1301)
% 11.51/11.77  (assume t1301.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.51/11.77  (step t1301.t1 (cl (or (not (forall ((X $$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_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.sk_c11) (:= Y tptp.sk_c10) (:= Z tptp.sk_c10)))
% 11.51/11.77  (step t1301.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule or :premises (t1301.t1))
% 11.51/11.77  (step t1301.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t1301.t2 t1301.a0))
% 11.51/11.77  (step t1301 (cl (not (forall ((X $$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_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule subproof :discharge (t1301.a0))
% 11.51/11.77  (step t1302 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t1300 t1301))
% 11.51/11.77  (step t1303 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg2)
% 11.51/11.77  (step t1304 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (=> (forall ((X $$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_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule resolution :premises (t1302 t1303))
% 11.51/11.77  (step t1305 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule contraction :premises (t1304))
% 11.51/11.77  (step t1306 (cl (not (forall ((X $$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_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule implies :premises (t1305))
% 11.51/11.77  (step t1307 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t1306 a2))
% 11.51/11.77  (step t1308 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.51/11.77  (anchor :step t1309)
% 11.51/11.77  (assume t1309.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.51/11.77  (step t1309.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 11.51/11.77  (step t1309.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule or :premises (t1309.t1))
% 11.51/11.77  (step t1309.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t1309.t2 t1309.a0))
% 11.51/11.77  (step t1309 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule subproof :discharge (t1309.a0))
% 11.51/11.77  (step t1310 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t1308 t1309))
% 11.51/11.77  (step t1311 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg2)
% 11.51/11.77  (step t1312 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t1310 t1311))
% 11.51/11.77  (step t1313 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule contraction :premises (t1312))
% 11.51/11.77  (step t1314 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule implies :premises (t1313))
% 11.51/11.77  (step t1315 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t1314 t309))
% 11.51/11.77  (step t1316 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.51/11.77  (anchor :step t1317)
% 11.51/11.77  (assume t1317.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.51/11.77  (step t1317.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 11.51/11.77  (step t1317.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule or :premises (t1317.t1))
% 11.51/11.77  (step t1317.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t1317.t2 t1317.a0))
% 11.51/11.77  (step t1317 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule subproof :discharge (t1317.a0))
% 11.51/11.77  (step t1318 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t1316 t1317))
% 11.51/11.77  (step t1319 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule implies_neg2)
% 11.51/11.77  (step t1320 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t1318 t1319))
% 11.51/11.77  (step t1321 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule contraction :premises (t1320))
% 11.51/11.77  (step t1322 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule implies :premises (t1321))
% 11.51/11.77  (step t1323 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t1322 t309))
% 11.51/11.77  (step t1324 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.51/11.77  (anchor :step t1325)
% 11.51/11.77  (assume t1325.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.51/11.77  (step t1325.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 11.51/11.77  (step t1325.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule or :premises (t1325.t1))
% 11.51/11.77  (step t1325.t3 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t1325.t2 t1325.a0))
% 11.51/11.77  (step t1325 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule subproof :discharge (t1325.a0))
% 11.51/11.77  (step t1326 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t1324 t1325))
% 11.51/11.77  (step t1327 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg2)
% 11.51/11.77  (step t1328 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t1326 t1327))
% 11.51/11.77  (step t1329 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule contraction :premises (t1328))
% 11.51/11.77  (step t1330 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule implies :premises (t1329))
% 11.51/11.77  (step t1331 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t1330 t328))
% 11.51/11.77  (step t1332 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.51/11.77  (anchor :step t1333)
% 11.51/11.77  (assume t1333.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.51/11.77  (step t1333.t1 (cl (or (not (forall ((X $$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.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y tptp.sk_c10) (:= Z tptp.sk_c10)))
% 11.51/11.77  (step t1333.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule or :premises (t1333.t1))
% 11.51/11.77  (step t1333.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t1333.t2 t1333.a0))
% 11.51/11.77  (step t1333 (cl (not (forall ((X $$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.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule subproof :discharge (t1333.a0))
% 11.51/11.77  (step t1334 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t1332 t1333))
% 11.51/11.77  (step t1335 (cl (=> (forall ((X $$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.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg2)
% 11.51/11.77  (step t1336 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule resolution :premises (t1334 t1335))
% 11.51/11.77  (step t1337 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule contraction :premises (t1336))
% 11.51/11.77  (step t1338 (cl (not (forall ((X $$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.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule implies :premises (t1337))
% 11.51/11.77  (step t1339 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t1338 a2))
% 11.51/11.77  (step t1340 (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)
% 11.51/11.77  (anchor :step t1341)
% 11.51/11.77  (assume t1341.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.51/11.77  (step t1341.t1 (cl (or (not (forall ((X $$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)))
% 11.51/11.77  (step t1341.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule or :premises (t1341.t1))
% 11.51/11.77  (step t1341.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t1341.t2 t1341.a0))
% 11.51/11.77  (step t1341 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule subproof :discharge (t1341.a0))
% 11.51/11.77  (step t1342 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t1340 t1341))
% 11.51/11.77  (step t1343 (cl (=> (forall ((X $$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)
% 11.51/11.77  (step t1344 (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 (t1342 t1343))
% 11.51/11.77  (step t1345 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule contraction :premises (t1344))
% 11.51/11.77  (step t1346 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule implies :premises (t1345))
% 11.51/11.77  (step t1347 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t1346 t309))
% 11.51/11.77  (step t1348 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.51/11.77  (anchor :step t1349)
% 11.51/11.77  (assume t1349.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.51/11.77  (step t1349.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule forall_inst :args ((:= X tptp.sk_c8)))
% 11.51/11.77  (step t1349.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule or :premises (t1349.t1))
% 11.51/11.77  (step t1349.t3 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t1349.t2 t1349.a0))
% 11.51/11.77  (step t1349 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule subproof :discharge (t1349.a0))
% 11.51/11.77  (step t1350 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t1348 t1349))
% 11.51/11.77  (step t1351 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule implies_neg2)
% 11.51/11.77  (step t1352 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule resolution :premises (t1350 t1351))
% 11.51/11.77  (step t1353 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule contraction :premises (t1352))
% 11.51/11.77  (step t1354 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule implies :premises (t1353))
% 11.51/11.77  (step t1355 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t1354 t328))
% 11.51/11.77  (step t1356 (cl) :rule resolution :premises (t111 t119 t127 t135 t143 t151 t1259 t1265 t1271 t1277 t1283 t1289 t1294 t1299 t1258 t251 t1307 t1315 t1323 t1331 t1339 t1347 t1355 t318 t329 t337 t353 t361 t369))
% 11.51/11.77  
% 11.51/11.77  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.fvTdb1raow/cvc5---1.0.5_2650.smt2
% 11.52/11.78  % cvc5---1.0.5 exiting
% 11.52/11.78  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------