TSTP Solution File: GRP375-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP375-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n020.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 16:54:33 EDT 2024
% Result : Unsatisfiable 10.69s 11.07s
% Output : Proof 11.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP375-1 : TPTP v8.2.0. Released v2.5.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 26 19:29:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.64/10.88 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.69/11.07 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.5jpj2MsUrX/cvc5---1.0.5_30645.smt2
% 10.69/11.07 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.5jpj2MsUrX/cvc5---1.0.5_30645.smt2
% 11.01/11.23 (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 11.01/11.23 (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 11.01/11.23 (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.01/11.23 (assume a3 (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)))
% 11.01/11.23 (assume a4 (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)))
% 11.01/11.23 (assume a5 (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)))
% 11.01/11.23 (assume a6 (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)))
% 11.01/11.23 (assume a7 (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c10)))
% 11.01/11.23 (assume a8 (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)))
% 11.01/11.23 (assume a9 (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c10)))
% 11.01/11.23 (assume a10 (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)))
% 11.01/11.23 (assume a11 (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c7)))
% 11.01/11.23 (assume a12 (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 11.01/11.23 (assume a13 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)))
% 11.01/11.23 (assume a14 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)))
% 11.01/11.23 (assume a15 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)))
% 11.01/11.23 (assume a16 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)))
% 11.01/11.23 (assume a17 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c10)))
% 11.01/11.23 (assume a18 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)))
% 11.01/11.23 (assume a19 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c10)))
% 11.01/11.23 (assume a20 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)))
% 11.01/11.23 (assume a21 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c7)))
% 11.01/11.23 (assume a22 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 11.01/11.23 (assume a23 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)))
% 11.01/11.23 (assume a24 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)))
% 11.01/11.23 (assume a25 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)))
% 11.01/11.23 (assume a26 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)))
% 11.01/11.23 (assume a27 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c10)))
% 11.01/11.23 (assume a28 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)))
% 11.01/11.23 (assume a29 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c10)))
% 11.01/11.23 (assume a30 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)))
% 11.01/11.23 (assume a31 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c7)))
% 11.01/11.23 (assume a32 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 11.01/11.23 (assume a33 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)))
% 11.01/11.23 (assume a34 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)))
% 11.01/11.23 (assume a35 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)))
% 11.01/11.23 (assume a36 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)))
% 11.01/11.23 (assume a37 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c10)))
% 11.01/11.23 (assume a38 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)))
% 11.01/11.23 (assume a39 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c10)))
% 11.01/11.23 (assume a40 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)))
% 11.01/11.23 (assume a41 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c7)))
% 11.01/11.23 (assume a42 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 11.01/11.23 (assume a43 (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X1) tptp.sk_c10)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c9)) (not (= (tptp.multiply X4 X5) tptp.sk_c10)) (not (= (tptp.inverse X4) X5)) (not (= (tptp.multiply X5 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.inverse X6) X7)) (not (= (tptp.inverse X7) X5)) (not (= (tptp.multiply X6 X5) X7)))))
% 11.01/11.23 (step t1 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule and_neg)
% 11.01/11.23 (step t2 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule implies_neg1)
% 11.01/11.23 (anchor :step t3)
% 11.01/11.23 (assume t3.a0 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.01/11.23 (assume t3.a1 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.01/11.23 (assume t3.a2 (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))
% 11.01/11.23 (assume t3.a3 (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 11.01/11.23 (assume t3.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))
% 11.01/11.23 (assume t3.a5 (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))
% 11.01/11.23 (assume t3.a6 (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)))
% 11.01/11.23 (assume t3.a7 (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)))
% 11.01/11.23 (assume t3.a8 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.01/11.23 (assume t3.a9 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.01/11.23 (assume t3.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.01/11.23 (assume t3.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.01/11.23 (assume t3.a12 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.01/11.23 (assume t3.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.01/11.23 (assume t3.a14 (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))
% 11.01/11.23 (assume t3.a15 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.01/11.23 (assume t3.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.01/11.23 (assume t3.a17 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.01/11.23 (assume t3.a18 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.01/11.23 (assume t3.a19 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.01/11.23 (assume t3.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.01/11.23 (assume t3.a21 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.01/11.23 (assume t3.a22 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.01/11.23 (assume t3.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))))
% 11.01/11.23 (assume t3.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 11.01/11.23 (assume t3.a25 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))))
% 11.01/11.23 (assume t3.a26 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.01/11.23 (assume t3.a27 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))))
% 11.01/11.23 (assume t3.a28 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))))
% 11.01/11.23 (assume t3.a29 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.01/11.23 (step t3.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies_neg1)
% 11.01/11.23 (anchor :step t3.t2)
% 11.01/11.23 (assume t3.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))
% 11.01/11.23 (assume t3.t2.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))
% 11.01/11.23 (assume t3.t2.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)))
% 11.01/11.23 (assume t3.t2.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.01/11.23 (assume t3.t2.a4 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.01/11.23 (assume t3.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.01/11.23 (assume t3.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.01/11.23 (assume t3.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))))
% 11.01/11.23 (assume t3.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.01/11.23 (assume t3.t2.a9 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.01/11.23 (assume t3.t2.a10 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.01/11.23 (assume t3.t2.a11 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.01/11.23 (assume t3.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.01/11.23 (assume t3.t2.a13 (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)))
% 11.01/11.23 (assume t3.t2.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 11.01/11.23 (assume t3.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.01/11.23 (assume t3.t2.a16 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.01/11.23 (assume t3.t2.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.01/11.23 (assume t3.t2.a18 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.01/11.23 (assume t3.t2.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))))
% 11.01/11.23 (assume t3.t2.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.01/11.23 (assume t3.t2.a21 (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))
% 11.01/11.23 (assume t3.t2.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))))
% 11.01/11.23 (assume t3.t2.a23 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.01/11.23 (assume t3.t2.a24 (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 11.01/11.23 (assume t3.t2.a25 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))))
% 11.01/11.23 (assume t3.t2.a26 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.01/11.23 (assume t3.t2.a27 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.01/11.23 (assume t3.t2.a28 (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))
% 11.01/11.23 (assume t3.t2.a29 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.01/11.23 (step t3.t2.t1 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) :rule symm :premises (t3.t2.a28))
% 11.01/11.23 (step t3.t2.t2 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t3.t2.t1))
% 11.01/11.23 (step t3.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t3.t2.a29))
% 11.01/11.23 (step t3.t2.t4 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule symm :premises (t3.t2.t3))
% 11.01/11.23 (step t3.t2.t5 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule symm :premises (t3.t2.a6))
% 11.01/11.23 (step t3.t2.t6 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule symm :premises (t3.t2.a5))
% 11.01/11.23 (step t3.t2.t7 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.01/11.23 (step t3.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t3.t2.t6 t3.t2.t7))
% 11.01/11.23 (step t3.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t3.t2.a4))
% 11.01/11.23 (step t3.t2.t10 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c2)) :rule trans :premises (t3.t2.t5 t3.t2.t8 t3.t2.t9))
% 11.01/11.23 (step t3.t2.t11 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.01/11.23 (step t3.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule cong :premises (t3.t2.t10 t3.t2.t11))
% 11.01/11.23 (step t3.t2.t13 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10))) :rule symm :premises (t3.t2.t12))
% 11.01/11.23 (step t3.t2.t14 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule refl)
% 11.01/11.23 (step t3.t2.t15 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t3.t2.a11))
% 11.01/11.23 (step t3.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t3.t2.a10 t3.t2.t11))
% 11.01/11.23 (step t3.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t3.t2.a10))
% 11.01/11.23 (step t3.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t3.t2.t17 t3.t2.a9))
% 11.01/11.23 (step t3.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t3.t2.a8))
% 11.01/11.23 (step t3.t2.t20 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t3.t2.t19))
% 11.01/11.23 (step t3.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t3.t2.a9))
% 11.01/11.23 (step t3.t2.t22 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) :rule cong :premises (t3.t2.t20 t3.t2.t21))
% 11.01/11.23 (step t3.t2.t23 (cl (= (tptp.inverse tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) :rule trans :premises (t3.t2.t15 t3.t2.a9 t3.t2.t16 t3.t2.t18 t3.t2.t22))
% 11.01/11.23 (step t3.t2.t24 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) :rule cong :premises (t3.t2.t14 t3.t2.t23))
% 11.01/11.23 (step t3.t2.t25 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule symm :premises (t3.t2.t24))
% 11.01/11.23 (step t3.t2.t26 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t3.t2.a3 t3.t2.t13 t3.t2.a7 t3.t2.t25 t3.t2.t6))
% 11.01/11.23 (step t3.t2.t27 (cl (= tptp.identity tptp.sk_c9)) :rule symm :premises (t3.t2.t26))
% 11.01/11.23 (step t3.t2.t28 (cl (= tptp.identity (tptp.inverse tptp.sk_c3))) :rule trans :premises (t3.t2.t27 t3.t2.t2))
% 11.01/11.23 (step t3.t2.t29 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.01/11.23 (step t3.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule cong :premises (t3.t2.t28 t3.t2.t29))
% 11.01/11.23 (step t3.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t3.t2.a27))
% 11.01/11.23 (step t3.t2.t32 (cl (= tptp.sk_c3 tptp.identity)) :rule trans :premises (t3.t2.t4 t3.t2.t30 t3.t2.t31))
% 11.01/11.23 (step t3.t2.t33 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.identity))) :rule cong :premises (t3.t2.t32))
% 11.01/11.23 (step t3.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule cong :premises (t3.t2.a17 t3.t2.t27))
% 11.01/11.23 (step t3.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t3.t2.a26))
% 11.01/11.23 (step t3.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t3.t2.t35))
% 11.01/11.23 (step t3.t2.t37 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t3.t2.a2))
% 11.01/11.23 (step t3.t2.t38 (cl (= (tptp.inverse tptp.sk_c5) (tptp.inverse tptp.sk_c4))) :rule trans :premises (t3.t2.t37 t3.t2.a1))
% 11.01/11.23 (step t3.t2.t39 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c5))) :rule symm :premises (t3.t2.t38))
% 11.01/11.23 (step t3.t2.t40 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.01/11.23 (step t3.t2.t41 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) :rule symm :premises (t3.t2.a1))
% 11.01/11.23 (step t3.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c7 tptp.sk_c4))) :rule cong :premises (t3.t2.t41 t3.t2.t40))
% 11.01/11.23 (step t3.t2.t43 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) :rule trans :premises (t3.t2.a3 t3.t2.t13 t3.t2.a7 t3.t2.t25 t3.t2.t6 t3.t2.a17 t3.t2.t42))
% 11.01/11.23 (step t3.t2.t44 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) :rule cong :premises (t3.t2.t40 t3.t2.t43))
% 11.01/11.23 (step t3.t2.t45 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4))) :rule symm :premises (t3.t2.a25))
% 11.01/11.23 (step t3.t2.t46 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c10)) :rule symm :premises (t3.t2.a24))
% 11.01/11.23 (step t3.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule symm :premises (t3.t2.t8))
% 11.01/11.23 (step t3.t2.t48 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c10))) :rule cong :premises (t3.t2.t15))
% 11.01/11.23 (step t3.t2.t49 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t3.t2.a16))
% 11.01/11.23 (step t3.t2.t50 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t3.t2.t49))
% 11.01/11.23 (step t3.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t3.t2.a15))
% 11.01/11.23 (step t3.t2.t52 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t3.t2.t51))
% 11.01/11.23 (step t3.t2.t53 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.01/11.23 (step t3.t2.t54 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6))) :rule cong :premises (t3.t2.t52 t3.t2.t53))
% 11.01/11.23 (step t3.t2.t55 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6))) :rule symm :premises (t3.t2.a14))
% 11.01/11.23 (step t3.t2.t56 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t3.t2.t55))
% 11.01/11.23 (step t3.t2.t57 (cl (= (tptp.inverse tptp.sk_c5) (tptp.inverse tptp.sk_c5))) :rule refl)
% 11.01/11.23 (step t3.t2.t58 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t3.t2.a13))
% 11.01/11.23 (step t3.t2.t59 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) :rule symm :premises (t3.t2.t58))
% 11.01/11.23 (step t3.t2.t60 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t3.t2.t59 t3.t2.t53))
% 11.01/11.23 (step t3.t2.t61 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t3.t2.a12))
% 11.01/11.23 (step t3.t2.t62 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10))) :rule symm :premises (t3.t2.a7))
% 11.01/11.23 (step t3.t2.t63 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t3.t2.a3))
% 11.01/11.23 (step t3.t2.t64 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c9)) :rule trans :premises (t3.t2.t60 t3.t2.t61 t3.t2.a5 t3.t2.t24 t3.t2.t62 t3.t2.t12 t3.t2.t63))
% 11.01/11.23 (step t3.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c9))) :rule cong :premises (t3.t2.t57 t3.t2.t64))
% 11.01/11.23 (step t3.t2.t66 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.01/11.23 (step t3.t2.t67 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c9))) :rule cong :premises (t3.t2.t38 t3.t2.t66))
% 11.01/11.23 (step t3.t2.t68 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c9) (tptp.multiply tptp.sk_c7 tptp.sk_c9))) :rule cong :premises (t3.t2.t41 t3.t2.t66))
% 11.01/11.23 (step t3.t2.t69 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t3.t2.a0))
% 11.01/11.23 (step t3.t2.t70 (cl (= tptp.sk_c6 tptp.sk_c10)) :rule trans :premises (t3.t2.t50 t3.t2.t54 t3.t2.t56 t3.t2.t65 t3.t2.t67 t3.t2.t68 t3.t2.t69))
% 11.01/11.23 (step t3.t2.t71 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c10))) :rule cong :premises (t3.t2.t70))
% 11.01/11.23 (step t3.t2.t72 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t3.t2.t71))
% 11.01/11.23 (step t3.t2.t73 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) tptp.sk_c5)) :rule trans :premises (t3.t2.t48 t3.t2.t72 t3.t2.t58))
% 11.01/11.23 (step t3.t2.t74 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t3.t2.a23))
% 11.01/11.23 (step t3.t2.t75 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t3.t2.t74))
% 11.01/11.23 (step t3.t2.t76 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t3.t2.t73 t3.t2.t75))
% 11.01/11.23 (step t3.t2.t77 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c9)) :rule trans :premises (t3.t2.t19 t3.t2.a5 t3.t2.t24 t3.t2.t62 t3.t2.t12 t3.t2.t63))
% 11.01/11.23 (step t3.t2.t78 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9))) :rule cong :premises (t3.t2.t76 t3.t2.t77))
% 11.01/11.23 (step t3.t2.t79 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9))) :rule symm :premises (t3.t2.a22))
% 11.01/11.23 (step t3.t2.t80 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule symm :premises (t3.t2.t79))
% 11.01/11.23 (step t3.t2.t81 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule trans :premises (t3.t2.t70 t3.t2.a11 t3.t2.a21))
% 11.01/11.23 (step t3.t2.t82 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c9) (tptp.inverse tptp.sk_c2))) :rule trans :premises (t3.t2.t69 t3.t2.a11))
% 11.01/11.23 (step t3.t2.t83 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule cong :premises (t3.t2.t81 t3.t2.t82))
% 11.01/11.23 (step t3.t2.t84 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) :rule symm :premises (t3.t2.a21))
% 11.01/11.23 (step t3.t2.t85 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.sk_c10)) :rule trans :premises (t3.t2.t84 t3.t2.t15))
% 11.01/11.23 (step t3.t2.t86 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule cong :premises (t3.t2.t85 t3.t2.t15))
% 11.01/11.23 (step t3.t2.t87 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule trans :premises (t3.t2.a4 t3.t2.t47 t3.t2.a6 t3.t2.t78 t3.t2.t80 t3.t2.t83 t3.t2.t86))
% 11.01/11.23 (step t3.t2.t88 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t3.t2.t7 t3.t2.t87))
% 11.01/11.23 (step t3.t2.t89 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t3.t2.a20))
% 11.01/11.23 (step t3.t2.t90 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.identity)) :rule trans :premises (t3.t2.t13 t3.t2.a7 t3.t2.t25 t3.t2.t6))
% 11.01/11.23 (step t3.t2.t91 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t3.t2.t90 t3.t2.a9))
% 11.01/11.23 (step t3.t2.t92 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t3.t2.t18))
% 11.01/11.23 (step t3.t2.t93 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t3.t2.t16))
% 11.01/11.23 (step t3.t2.t94 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c2) tptp.sk_c10)) :rule trans :premises (t3.t2.t88 t3.t2.t89 t3.t2.t91 t3.t2.t92 t3.t2.t93 t3.t2.t21))
% 11.01/11.23 (step t3.t2.t95 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 tptp.sk_c2))) :rule symm :premises (t3.t2.t94))
% 11.01/11.23 (step t3.t2.t96 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c2))) :rule trans :premises (t3.t2.t46 t3.t2.t95))
% 11.01/11.23 (step t3.t2.t97 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c2) tptp.sk_c4))) :rule cong :premises (t3.t2.t96 t3.t2.t40))
% 11.01/11.23 (step t3.t2.t98 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c2) (tptp.multiply tptp.sk_c7 tptp.sk_c9))) :rule trans :premises (t3.t2.t94 t3.t2.a0))
% 11.01/11.23 (step t3.t2.t99 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c2) tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4))) :rule cong :premises (t3.t2.t98 t3.t2.t40))
% 11.01/11.23 (step t3.t2.t100 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4))) :rule symm :premises (t3.t2.a19))
% 11.01/11.23 (step t3.t2.t101 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule symm :premises (t3.t2.t100))
% 11.01/11.23 (step t3.t2.t102 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t3.t2.t26 t3.t2.t40))
% 11.01/11.23 (step t3.t2.t103 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t3.t2.a18))
% 11.01/11.23 (step t3.t2.t104 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c4) tptp.sk_c4)) :rule trans :premises (t3.t2.t102 t3.t2.t103))
% 11.01/11.23 (step t3.t2.t105 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t3.t2.a1 t3.t2.t104))
% 11.01/11.23 (step t3.t2.t106 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t3.t2.a17))
% 11.01/11.23 (step t3.t2.t107 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c9)) :rule trans :premises (t3.t2.t44 t3.t2.t45 t3.t2.t97 t3.t2.t99 t3.t2.t101 t3.t2.t105 t3.t2.t106 t3.t2.a5 t3.t2.t24 t3.t2.t62 t3.t2.t12 t3.t2.t63))
% 11.01/11.23 (step t3.t2.t108 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c9))) :rule cong :premises (t3.t2.t39 t3.t2.t107))
% 11.01/11.23 (step t3.t2.t109 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t3.t2.t65))
% 11.01/11.23 (step t3.t2.t110 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t3.t2.t54))
% 11.01/11.23 (step t3.t2.t111 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t3.t2.a10 t3.t2.t34 t3.t2.t36 t3.t2.t108 t3.t2.t109 t3.t2.t55 t3.t2.t110 t3.t2.t49))
% 11.01/11.23 (step t3.t2.t112 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c6))) :rule cong :premises (t3.t2.t111))
% 11.01/11.23 (step t3.t2.t113 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule trans :premises (t3.t2.t2 t3.t2.t33 t3.t2.t112 t3.t2.t71))
% 11.01/11.23 (step t3.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c9 (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.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule subproof :discharge (t3.t2.a0 t3.t2.a1 t3.t2.a2 t3.t2.a3 t3.t2.a4 t3.t2.a5 t3.t2.a6 t3.t2.a7 t3.t2.a8 t3.t2.a9 t3.t2.a10 t3.t2.a11 t3.t2.a12 t3.t2.a13 t3.t2.a14 t3.t2.a15 t3.t2.a16 t3.t2.a17 t3.t2.a18 t3.t2.a19 t3.t2.a20 t3.t2.a21 t3.t2.a22 t3.t2.a23 t3.t2.a24 t3.t2.a25 t3.t2.a26 t3.t2.a27 t3.t2.a28 t3.t2.a29))
% 11.01/11.23 (step t3.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) :rule and_pos)
% 11.01/11.23 (step t3.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.01/11.23 (step t3.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.01/11.23 (step t3.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.01/11.23 (step t3.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.01/11.23 (step t3.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (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_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.23 (step t3.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.01/11.23 (step t3.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) :rule and_pos)
% 11.01/11.23 (step t3.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.01/11.23 (step t3.t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.01/11.23 (step t3.t13 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.01/11.23 (step t3.t14 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.01/11.23 (step t3.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.01/11.23 (step t3.t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.01/11.23 (step t3.t17 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 11.01/11.23 (step t3.t18 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.01/11.23 (step t3.t19 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.01/11.23 (step t3.t20 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.01/11.23 (step t3.t21 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.01/11.23 (step t3.t22 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule and_pos)
% 11.01/11.23 (step t3.t23 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.01/11.23 (step t3.t24 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.23 (step t3.t25 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule and_pos)
% 11.01/11.23 (step t3.t26 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.01/11.23 (step t3.t27 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 11.01/11.23 (step t3.t28 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) :rule and_pos)
% 11.01/11.23 (step t3.t29 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.01/11.23 (step t3.t30 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (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))) :rule and_pos)
% 11.01/11.24 (step t3.t31 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.01/11.24 (step t3.t32 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.01/11.24 (step t3.t33 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))))) :rule resolution :premises (t3.t2 t3.t3 t3.t4 t3.t5 t3.t6 t3.t7 t3.t8 t3.t9 t3.t10 t3.t11 t3.t12 t3.t13 t3.t14 t3.t15 t3.t16 t3.t17 t3.t18 t3.t19 t3.t20 t3.t21 t3.t22 t3.t23 t3.t24 t3.t25 t3.t26 t3.t27 t3.t28 t3.t29 t3.t30 t3.t31 t3.t32))
% 11.01/11.24 (step t3.t34 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule reordering :premises (t3.t33))
% 11.01/11.24 (step t3.t35 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule contraction :premises (t3.t34))
% 11.01/11.24 (step t3.t36 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule resolution :premises (t3.t1 t3.t35))
% 11.01/11.24 (step t3.t37 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))) :rule implies_neg2)
% 11.01/11.24 (step t3.t38 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t3.t36 t3.t37))
% 11.01/11.24 (step t3.t39 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))) :rule contraction :premises (t3.t38))
% 11.01/11.24 (step t3.t40 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule implies :premises (t3.t39))
% 11.01/11.24 (step t3.t41 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c9 (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.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule and_neg)
% 11.01/11.24 (step t3.t42 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t3.t41 t3.a5 t3.a4 t3.a7 t3.a0 t3.a11 t3.a15 t3.a22 t3.a23 t3.a13 t3.a10 t3.a9 t3.a1 t3.a20 t3.a6 t3.a24 t3.a21 t3.a19 t3.a18 t3.a17 t3.a28 t3.a26 t3.a14 t3.a25 t3.a8 t3.a3 t3.a27 t3.a29 t3.a16 t3.a2 t3.a12))
% 11.01/11.24 (step t3.t43 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule resolution :premises (t3.t40 t3.t42))
% 11.01/11.24 (step t3 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule subproof :discharge (t3.a0 t3.a1 t3.a2 t3.a3 t3.a4 t3.a5 t3.a6 t3.a7 t3.a8 t3.a9 t3.a10 t3.a11 t3.a12 t3.a13 t3.a14 t3.a15 t3.a16 t3.a17 t3.a18 t3.a19 t3.a20 t3.a21 t3.a22 t3.a23 t3.a24 t3.a25 t3.a26 t3.a27 t3.a28 t3.a29))
% 11.01/11.24 (step t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.01/11.24 (step t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 11.01/11.24 (step t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.01/11.24 (step t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) :rule and_pos)
% 11.01/11.24 (step t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.01/11.24 (step t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.01/11.24 (step t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.01/11.24 (step t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.01/11.24 (step t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.01/11.24 (step t17 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t18 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t20 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.01/11.24 (step t21 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.01/11.24 (step t22 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.01/11.24 (step t23 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.01/11.24 (step t24 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.01/11.24 (step t25 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.01/11.24 (step t26 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t27 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) :rule and_pos)
% 11.01/11.24 (step t28 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 11.01/11.24 (step t29 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule and_pos)
% 11.01/11.24 (step t30 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.01/11.24 (step t31 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) :rule and_pos)
% 11.01/11.24 (step t32 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule and_pos)
% 11.01/11.24 (step t33 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.01/11.24 (step t34 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))))) :rule resolution :premises (t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29 t30 t31 t32 t33))
% 11.01/11.24 (step t35 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule reordering :premises (t34))
% 11.01/11.24 (step t36 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule contraction :premises (t35))
% 11.01/11.24 (step t37 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule resolution :premises (t2 t36))
% 11.01/11.24 (step t38 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))) :rule implies_neg2)
% 11.01/11.24 (step t39 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t37 t38))
% 11.01/11.24 (step t40 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))) :rule contraction :premises (t39))
% 11.01/11.24 (step t41 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule implies :premises (t40))
% 11.01/11.24 (step t42 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule resolution :premises (t1 t41))
% 11.01/11.24 (step t43 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule reordering :premises (t42))
% 11.01/11.24 (step t44 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t45)
% 11.01/11.24 (assume t45.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.01/11.24 (step t45.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4)) (:= Y tptp.sk_c4) (:= Z tptp.sk_c9)))
% 11.01/11.24 (step t45.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule or :premises (t45.t1))
% 11.01/11.24 (step t45.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t45.t2 t45.a0))
% 11.01/11.24 (step t45 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule subproof :discharge (t45.a0))
% 11.01/11.24 (step t46 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t44 t45))
% 11.01/11.24 (step t47 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule implies_neg2)
% 11.01/11.24 (step t48 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (=> (forall ((X $$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_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule resolution :premises (t46 t47))
% 11.01/11.24 (step t49 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule contraction :premises (t48))
% 11.01/11.24 (step t50 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule implies :premises (t49))
% 11.01/11.24 (step t51 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t50 a2))
% 11.01/11.24 (step t52 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t53)
% 11.01/11.24 (assume t53.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.01/11.24 (step t53.t1 (cl (or (not (forall ((X $$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_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c9) (:= Z tptp.sk_c4)))
% 11.01/11.24 (step t53.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule or :premises (t53.t1))
% 11.01/11.24 (step t53.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule resolution :premises (t53.t2 t53.a0))
% 11.01/11.24 (step t53 (cl (not (forall ((X $$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_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule subproof :discharge (t53.a0))
% 11.01/11.24 (step t54 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule resolution :premises (t52 t53))
% 11.01/11.24 (step t55 (cl (=> (forall ((X $$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_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))))) :rule implies_neg2)
% 11.01/11.24 (step t56 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))))) :rule resolution :premises (t54 t55))
% 11.01/11.24 (step t57 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4))))) :rule contraction :premises (t56))
% 11.01/11.24 (step t58 (cl (not (forall ((X $$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_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule implies :premises (t57))
% 11.01/11.24 (step t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule resolution :premises (t58 a2))
% 11.01/11.24 (step t60 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t61)
% 11.01/11.24 (assume t61.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.01/11.24 (step t61.t1 (cl (or (not (forall ((X $$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_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))))) :rule forall_inst :args ((:= X tptp.sk_c4) (:= Y tptp.sk_c7) (:= Z tptp.sk_c4)))
% 11.01/11.24 (step t61.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) :rule or :premises (t61.t1))
% 11.01/11.24 (step t61.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) :rule resolution :premises (t61.t2 t61.a0))
% 11.01/11.24 (step t61 (cl (not (forall ((X $$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_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) :rule subproof :discharge (t61.a0))
% 11.01/11.24 (step t62 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) :rule resolution :premises (t60 t61))
% 11.01/11.24 (step t63 (cl (=> (forall ((X $$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_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))))) :rule implies_neg2)
% 11.01/11.24 (step t64 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))))) :rule resolution :premises (t62 t63))
% 11.01/11.24 (step t65 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))))) :rule contraction :premises (t64))
% 11.01/11.24 (step t66 (cl (not (forall ((X $$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_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) :rule implies :premises (t65))
% 11.01/11.24 (step t67 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) :rule resolution :premises (t66 a2))
% 11.01/11.24 (step t68 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t69)
% 11.01/11.24 (assume t69.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.01/11.24 (step t69.t1 (cl (or (not (forall ((X $$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_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.sk_c2) (:= Y tptp.sk_c10) (:= Z tptp.sk_c10)))
% 11.01/11.24 (step t69.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule or :premises (t69.t1))
% 11.01/11.24 (step t69.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t69.t2 t69.a0))
% 11.01/11.24 (step t69 (cl (not (forall ((X $$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_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule subproof :discharge (t69.a0))
% 11.01/11.24 (step t70 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t68 t69))
% 11.01/11.24 (step t71 (cl (=> (forall ((X $$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_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg2)
% 11.01/11.24 (step t72 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (=> (forall ((X $$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_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule resolution :premises (t70 t71))
% 11.01/11.24 (step t73 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule contraction :premises (t72))
% 11.01/11.24 (step t74 (cl (not (forall ((X $$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_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule implies :premises (t73))
% 11.01/11.24 (step t75 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t74 a2))
% 11.01/11.24 (step t76 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t77)
% 11.01/11.24 (assume t77.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.01/11.24 (step t77.t1 (cl (or (not (forall ((X $$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_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))))) :rule forall_inst :args ((:= X tptp.sk_c6) (:= Y tptp.sk_c7) (:= Z tptp.sk_c9)))
% 11.01/11.24 (step t77.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule or :premises (t77.t1))
% 11.01/11.24 (step t77.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule resolution :premises (t77.t2 t77.a0))
% 11.01/11.24 (step t77 (cl (not (forall ((X $$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_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule subproof :discharge (t77.a0))
% 11.01/11.24 (step t78 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule resolution :premises (t76 t77))
% 11.01/11.24 (step t79 (cl (=> (forall ((X $$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_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))))) :rule implies_neg2)
% 11.01/11.24 (step t80 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))))) :rule resolution :premises (t78 t79))
% 11.01/11.24 (step t81 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9))))) :rule contraction :premises (t80))
% 11.01/11.24 (step t82 (cl (not (forall ((X $$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_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule implies :premises (t81))
% 11.01/11.24 (step t83 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c9) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule resolution :premises (t82 a2))
% 11.01/11.24 (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t85)
% 11.01/11.24 (assume t85.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.01/11.24 (step t85.t1 (cl (or (not (forall ((X $$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_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c5)) (:= Y tptp.sk_c5) (:= Z tptp.sk_c6)))
% 11.01/11.24 (step t85.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule or :premises (t85.t1))
% 11.01/11.24 (step t85.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t85.t2 t85.a0))
% 11.01/11.24 (step t85 (cl (not (forall ((X $$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_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule subproof :discharge (t85.a0))
% 11.01/11.24 (step t86 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t84 t85))
% 11.01/11.24 (step t87 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule implies_neg2)
% 11.01/11.24 (step t88 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (=> (forall ((X $$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_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t86 t87))
% 11.01/11.24 (step t89 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule contraction :premises (t88))
% 11.01/11.24 (step t90 (cl (not (forall ((X $$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_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule implies :premises (t89))
% 11.01/11.24 (step t91 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t90 a2))
% 11.01/11.24 (step t92 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t93)
% 11.01/11.24 (assume t93.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.01/11.24 (step t93.t1 (cl (or (not (forall ((X $$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_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.inverse tptp.sk_c2))) (:= Y (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (:= Z tptp.sk_c10)))
% 11.01/11.24 (step t93.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) :rule or :premises (t93.t1))
% 11.01/11.24 (step t93.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) :rule resolution :premises (t93.t2 t93.a0))
% 11.01/11.24 (step t93 (cl (not (forall ((X $$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_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) :rule subproof :discharge (t93.a0))
% 11.01/11.24 (step t94 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) :rule resolution :premises (t92 t93))
% 11.01/11.24 (step t95 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))))) :rule implies_neg2)
% 11.01/11.24 (step t96 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))))) :rule resolution :premises (t94 t95))
% 11.01/11.24 (step t97 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10))))) :rule contraction :premises (t96))
% 11.01/11.24 (step t98 (cl (not (forall ((X $$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_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) :rule implies :premises (t97))
% 11.01/11.24 (step t99 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) tptp.sk_c10) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c10)))) :rule resolution :premises (t98 a2))
% 11.01/11.24 (step t100 (cl (not (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule equiv_pos2)
% 11.01/11.24 (step t101 (cl (= (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))) :rule all_simplify)
% 11.01/11.24 (step t102 (cl (= (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule all_simplify)
% 11.01/11.24 (step t103 (cl (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t101 t102))
% 11.01/11.24 (step t104 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t100 t103 a12))
% 11.01/11.24 (step t105 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule or :premises (t104))
% 11.01/11.24 (step t106 (cl (not (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X1) tptp.sk_c10)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c9)) (not (= (tptp.multiply X4 X5) tptp.sk_c10)) (not (= (tptp.inverse X4) X5)) (not (= (tptp.multiply X5 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.inverse X6) X7)) (not (= (tptp.inverse X7) X5)) (not (= (tptp.multiply X6 X5) X7)))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))))) (not (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X1) tptp.sk_c10)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c9)) (not (= (tptp.multiply X4 X5) tptp.sk_c10)) (not (= (tptp.inverse X4) X5)) (not (= (tptp.multiply X5 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.inverse X6) X7)) (not (= (tptp.inverse X7) X5)) (not (= (tptp.multiply X6 X5) X7))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))))) :rule equiv_pos2)
% 11.01/11.24 (anchor :step t107 :args ((X2 $$unsorted) (:= X2 X2) (X1 $$unsorted) (:= X1 X1) (X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4) (X5 $$unsorted) (:= X5 X5) (X6 $$unsorted) (:= X6 X6) (X7 $$unsorted) (:= X7 X7)))
% 11.01/11.24 (step t107.t1 (cl (= X2 X2)) :rule refl)
% 11.01/11.24 (step t107.t2 (cl (= X1 X1)) :rule refl)
% 11.01/11.24 (step t107.t3 (cl (= X3 X3)) :rule refl)
% 11.01/11.24 (step t107.t4 (cl (= X4 X4)) :rule refl)
% 11.01/11.24 (step t107.t5 (cl (= X5 X5)) :rule refl)
% 11.01/11.24 (step t107.t6 (cl (= X6 X6)) :rule refl)
% 11.01/11.24 (step t107.t7 (cl (= X7 X7)) :rule refl)
% 11.01/11.24 (step t107.t8 (cl (= (not (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))))) :rule cong :premises (t101))
% 11.01/11.24 (step t107.t9 (cl (= (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10)))) :rule all_simplify)
% 11.01/11.24 (step t107.t10 (cl (= (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))))) :rule cong :premises (t107.t9))
% 11.01/11.24 (step t107.t11 (cl (= (= (tptp.inverse X2) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse X2)))) :rule all_simplify)
% 11.01/11.24 (step t107.t12 (cl (= (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse X2))))) :rule cong :premises (t107.t11))
% 11.01/11.24 (step t107.t13 (cl (= (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule all_simplify)
% 11.01/11.24 (step t107.t14 (cl (= (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule cong :premises (t107.t13))
% 11.01/11.24 (step t107.t15 (cl (= (= (tptp.multiply X1 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10)))) :rule all_simplify)
% 11.01/11.24 (step t107.t16 (cl (= (not (= (tptp.multiply X1 tptp.sk_c10) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))))) :rule cong :premises (t107.t15))
% 11.01/11.24 (step t107.t17 (cl (= (= (tptp.inverse X1) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse X1)))) :rule all_simplify)
% 11.01/11.24 (step t107.t18 (cl (= (not (= (tptp.inverse X1) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse X1))))) :rule cong :premises (t107.t17))
% 11.01/11.24 (step t107.t19 (cl (= (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c8) (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9)))) :rule all_simplify)
% 11.01/11.24 (step t107.t20 (cl (= (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))))) :rule cong :premises (t107.t19))
% 11.01/11.24 (step t107.t21 (cl (= (= (tptp.inverse X3) tptp.sk_c9) (= tptp.sk_c9 (tptp.inverse X3)))) :rule all_simplify)
% 11.01/11.24 (step t107.t22 (cl (= (not (= (tptp.inverse X3) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.inverse X3))))) :rule cong :premises (t107.t21))
% 11.01/11.24 (step t107.t23 (cl (= (= (tptp.multiply X4 X5) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply X4 X5)))) :rule all_simplify)
% 11.01/11.24 (step t107.t24 (cl (= (not (= (tptp.multiply X4 X5) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.multiply X4 X5))))) :rule cong :premises (t107.t23))
% 11.01/11.24 (step t107.t25 (cl (= (= (tptp.inverse X4) X5) (= X5 (tptp.inverse X4)))) :rule all_simplify)
% 11.01/11.24 (step t107.t26 (cl (= (not (= (tptp.inverse X4) X5)) (not (= X5 (tptp.inverse X4))))) :rule cong :premises (t107.t25))
% 11.01/11.24 (step t107.t27 (cl (= (= (tptp.multiply X5 tptp.sk_c9) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c9)))) :rule all_simplify)
% 11.01/11.24 (step t107.t28 (cl (= (not (= (tptp.multiply X5 tptp.sk_c9) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c9))))) :rule cong :premises (t107.t27))
% 11.01/11.24 (step t107.t29 (cl (= (= (tptp.inverse X6) X7) (= X7 (tptp.inverse X6)))) :rule all_simplify)
% 11.01/11.24 (step t107.t30 (cl (= (not (= (tptp.inverse X6) X7)) (not (= X7 (tptp.inverse X6))))) :rule cong :premises (t107.t29))
% 11.01/11.24 (step t107.t31 (cl (= (= (tptp.inverse X7) X5) (= X5 (tptp.inverse X7)))) :rule all_simplify)
% 11.01/11.24 (step t107.t32 (cl (= (not (= (tptp.inverse X7) X5)) (not (= X5 (tptp.inverse X7))))) :rule cong :premises (t107.t31))
% 11.01/11.24 (step t107.t33 (cl (= (= (tptp.multiply X6 X5) X7) (= X7 (tptp.multiply X6 X5)))) :rule all_simplify)
% 11.01/11.24 (step t107.t34 (cl (= (not (= (tptp.multiply X6 X5) X7)) (not (= X7 (tptp.multiply X6 X5))))) :rule cong :premises (t107.t33))
% 11.01/11.24 (step t107.t35 (cl (= (or (not (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X1) tptp.sk_c10)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c9)) (not (= (tptp.multiply X4 X5) tptp.sk_c10)) (not (= (tptp.inverse X4) X5)) (not (= (tptp.multiply X5 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.inverse X6) X7)) (not (= (tptp.inverse X7) X5)) (not (= (tptp.multiply X6 X5) X7))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))) (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply X4 X5))) (not (= X5 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c9))) (not (= X7 (tptp.inverse X6))) (not (= X5 (tptp.inverse X7))) (not (= X7 (tptp.multiply X6 X5)))))) :rule cong :premises (t107.t8 t107.t10 t107.t12 t107.t14 t107.t16 t107.t18 t107.t20 t107.t22 t107.t24 t107.t26 t107.t28 t107.t30 t107.t32 t107.t34))
% 11.01/11.24 (step t107 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X1) tptp.sk_c10)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c9)) (not (= (tptp.multiply X4 X5) tptp.sk_c10)) (not (= (tptp.inverse X4) X5)) (not (= (tptp.multiply X5 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.inverse X6) X7)) (not (= (tptp.inverse X7) X5)) (not (= (tptp.multiply X6 X5) X7)))) (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))) (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply X4 X5))) (not (= X5 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c9))) (not (= X7 (tptp.inverse X6))) (not (= X5 (tptp.inverse X7))) (not (= X7 (tptp.multiply X6 X5))))))) :rule bind)
% 11.01/11.24 (step t108 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))) (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply X4 X5))) (not (= X5 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c9))) (not (= X7 (tptp.inverse X6))) (not (= X5 (tptp.inverse X7))) (not (= X7 (tptp.multiply X6 X5))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 X5))) (not (= X5 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c9))) (not (= X7 (tptp.inverse X6))) (not (= X5 (tptp.inverse X7))) (not (= X7 (tptp.multiply X6 X5)))))))) :rule all_simplify)
% 11.01/11.24 (step t109 (cl (= (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))))) :rule refl)
% 11.01/11.24 (step t110 (cl (= (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule refl)
% 11.01/11.24 (step t111 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))) :rule refl)
% 11.01/11.24 (step t112 (cl (= (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))))) :rule refl)
% 11.01/11.24 (step t113 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))))) :rule refl)
% 11.01/11.24 (step t114 (cl (= (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 X5))) (not (= X5 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c9))) (not (= X7 (tptp.inverse X6))) (not (= X5 (tptp.inverse X7))) (not (= X7 (tptp.multiply X6 X5))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= (tptp.inverse X4) (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X6) (tptp.inverse X6))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))))) :rule all_simplify)
% 11.01/11.24 (anchor :step t115 :args ((X4 $$unsorted) (:= X4 X4) (X6 $$unsorted) (:= X6 X6)))
% 11.01/11.24 (step t115.t1 (cl (= X4 X4)) :rule refl)
% 11.01/11.24 (step t115.t2 (cl (= X6 X6)) :rule refl)
% 11.01/11.24 (step t115.t3 (cl (= (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))))) :rule refl)
% 11.01/11.24 (step t115.t4 (cl (= (= (tptp.inverse X4) (tptp.inverse X4)) true)) :rule all_simplify)
% 11.01/11.24 (step t115.t5 (cl (= (not (= (tptp.inverse X4) (tptp.inverse X4))) (not true))) :rule cong :premises (t115.t4))
% 11.01/11.24 (step t115.t6 (cl (= (not true) false)) :rule all_simplify)
% 11.01/11.24 (step t115.t7 (cl (= (not (= (tptp.inverse X4) (tptp.inverse X4))) false)) :rule trans :premises (t115.t5 t115.t6))
% 11.01/11.24 (step t115.t8 (cl (= (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))))) :rule refl)
% 11.01/11.24 (step t115.t9 (cl (= (= (tptp.inverse X6) (tptp.inverse X6)) true)) :rule all_simplify)
% 11.01/11.24 (step t115.t10 (cl (= (not (= (tptp.inverse X6) (tptp.inverse X6))) (not true))) :rule cong :premises (t115.t9))
% 11.01/11.24 (step t115.t11 (cl (= (not (= (tptp.inverse X6) (tptp.inverse X6))) false)) :rule trans :premises (t115.t10 t115.t6))
% 11.01/11.24 (step t115.t12 (cl (= (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))))) :rule refl)
% 11.01/11.24 (step t115.t13 (cl (= (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) :rule refl)
% 11.01/11.24 (step t115.t14 (cl (= (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= (tptp.inverse X4) (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X6) (tptp.inverse X6))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) false (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) false (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) :rule cong :premises (t115.t3 t115.t7 t115.t8 t115.t11 t115.t12 t115.t13))
% 11.01/11.24 (step t115.t15 (cl (= (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) false (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) false (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) :rule all_simplify)
% 11.01/11.24 (step t115.t16 (cl (= (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= (tptp.inverse X4) (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X6) (tptp.inverse X6))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) :rule trans :premises (t115.t14 t115.t15))
% 11.01/11.24 (step t115 (cl (= (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= (tptp.inverse X4) (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X6) (tptp.inverse X6))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))))) :rule bind)
% 11.01/11.24 (step t116 (cl (= (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 X5))) (not (= X5 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c9))) (not (= X7 (tptp.inverse X6))) (not (= X5 (tptp.inverse X7))) (not (= X7 (tptp.multiply X6 X5))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))))) :rule trans :premises (t114 t115))
% 11.01/11.24 (step t117 (cl (= (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 X5))) (not (= X5 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c9))) (not (= X7 (tptp.inverse X6))) (not (= X5 (tptp.inverse X7))) (not (= X7 (tptp.multiply X6 X5)))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))))) :rule cong :premises (t109 t110 t111 t112 t113 t116))
% 11.01/11.24 (step t118 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))) (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply X4 X5))) (not (= X5 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c9))) (not (= X7 (tptp.inverse X6))) (not (= X5 (tptp.inverse X7))) (not (= X7 (tptp.multiply X6 X5))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))))) :rule trans :premises (t108 t117))
% 11.01/11.24 (step t119 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X1) tptp.sk_c10)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c9)) (not (= (tptp.multiply X4 X5) tptp.sk_c10)) (not (= (tptp.inverse X4) X5)) (not (= (tptp.multiply X5 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.inverse X6) X7)) (not (= (tptp.inverse X7) X5)) (not (= (tptp.multiply X6 X5) X7)))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))))) :rule trans :premises (t107 t118))
% 11.01/11.24 (step t120 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))))) :rule resolution :premises (t106 t119 a43))
% 11.01/11.24 (step t121 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) :rule or :premises (t120))
% 11.01/11.24 (step t122 (cl (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t123)
% 11.01/11.24 (assume t123.a0 (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))))
% 11.01/11.24 (step t123.t1 (cl (or (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))))) :rule forall_inst :args ((:= X4 tptp.sk_c2) (:= X6 tptp.sk_c10)))
% 11.01/11.24 (step t123.t2 (cl (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule or :premises (t123.t1))
% 11.01/11.24 (step t123.t3 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t123.t2 t123.a0))
% 11.01/11.24 (step t123 (cl (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule subproof :discharge (t123.a0))
% 11.01/11.24 (step t124 (cl (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t122 t123))
% 11.01/11.24 (step t125 (cl (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))))) :rule implies_neg2)
% 11.01/11.24 (step t126 (cl (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))))) :rule resolution :premises (t124 t125))
% 11.01/11.24 (step t127 (cl (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))))) :rule contraction :premises (t126))
% 11.01/11.24 (step t128 (cl (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule implies :premises (t127))
% 11.01/11.24 (step t129 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))))) :rule hole :args ((forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (= X2 X1)))
% 11.01/11.24 (step t130 (cl (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))))) :rule equiv2 :premises (t129))
% 11.01/11.24 (step t131 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t132)
% 11.01/11.24 (assume t132.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))))
% 11.01/11.24 (step t132.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X3 tptp.sk_c3)))
% 11.01/11.24 (step t132.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t132.t1))
% 11.01/11.24 (step t132.t3 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t132.t2 t132.a0))
% 11.01/11.24 (step t132 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t132.a0))
% 11.01/11.24 (step t133 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t131 t132))
% 11.01/11.24 (step t134 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.01/11.24 (step t135 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t133 t134))
% 11.01/11.24 (step t136 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t135))
% 11.01/11.24 (step t137 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t136))
% 11.01/11.24 (step t138 (cl (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule or_pos)
% 11.01/11.24 (step t139 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))))) :rule reordering :premises (t138))
% 11.01/11.24 (step t140 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (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))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t121 t128 t130 t137 t139))
% 11.01/11.24 (step t141 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t140))
% 11.01/11.24 (step t142 (cl (=> (forall ((X2 $$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_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t143)
% 11.01/11.24 (assume t143.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))
% 11.01/11.24 (step t143.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule forall_inst :args ((:= X2 tptp.sk_c2)))
% 11.01/11.24 (step t143.t2 (cl (not (forall ((X2 $$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_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule or :premises (t143.t1))
% 11.01/11.24 (step t143.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t143.t2 t143.a0))
% 11.01/11.24 (step t143 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule subproof :discharge (t143.a0))
% 11.01/11.24 (step t144 (cl (=> (forall ((X2 $$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_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t142 t143))
% 11.01/11.24 (step t145 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule implies_neg2)
% 11.01/11.24 (step t146 (cl (=> (forall ((X2 $$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_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t144 t145))
% 11.01/11.24 (step t147 (cl (=> (forall ((X2 $$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_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule contraction :premises (t146))
% 11.01/11.24 (step t148 (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_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule implies :premises (t147))
% 11.01/11.24 (step t149 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule and_neg)
% 11.01/11.24 (step t150 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t151)
% 11.01/11.24 (assume t151.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.01/11.24 (assume t151.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.01/11.24 (assume t151.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.01/11.24 (assume t151.a3 (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))
% 11.01/11.24 (assume t151.a4 (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))
% 11.01/11.24 (assume t151.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.01/11.24 (assume t151.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.01/11.24 (assume t151.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.01/11.24 (assume t151.a8 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.01/11.24 (assume t151.a9 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.01/11.24 (assume t151.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.01/11.24 (assume t151.a11 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (assume t151.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.01/11.24 (assume t151.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.01/11.24 (assume t151.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.01/11.24 (step t151.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t151.t2)
% 11.01/11.24 (assume t151.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.01/11.24 (assume t151.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.01/11.24 (assume t151.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.01/11.24 (assume t151.t2.a3 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.01/11.24 (assume t151.t2.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.01/11.24 (assume t151.t2.a5 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.01/11.24 (assume t151.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.01/11.24 (assume t151.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.01/11.24 (assume t151.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (assume t151.t2.a9 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.01/11.24 (assume t151.t2.a10 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.01/11.24 (assume t151.t2.a11 (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))
% 11.01/11.24 (assume t151.t2.a12 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.01/11.24 (assume t151.t2.a13 (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))
% 11.01/11.24 (assume t151.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.01/11.24 (step t151.t2.t1 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t151.t2.a10))
% 11.01/11.24 (step t151.t2.t2 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t151.t2.t1))
% 11.01/11.24 (step t151.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t151.t2.a9))
% 11.01/11.24 (step t151.t2.t4 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t151.t2.t3))
% 11.01/11.24 (step t151.t2.t5 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule symm :premises (t151.t2.a8))
% 11.01/11.24 (step t151.t2.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule symm :premises (t151.t2.t5))
% 11.01/11.24 (step t151.t2.t7 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.01/11.24 (step t151.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule cong :premises (t151.t2.t6 t151.t2.t7))
% 11.01/11.24 (step t151.t2.t9 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule symm :premises (t151.t2.a7))
% 11.01/11.24 (step t151.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule symm :premises (t151.t2.t9))
% 11.01/11.24 (step t151.t2.t11 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule refl)
% 11.01/11.24 (step t151.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t151.t2.a6))
% 11.01/11.24 (step t151.t2.t13 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t151.t2.a3))
% 11.01/11.24 (step t151.t2.t14 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t151.t2.t13))
% 11.01/11.24 (step t151.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t151.t2.a0))
% 11.01/11.24 (step t151.t2.t16 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t151.t2.t14 t151.t2.t15))
% 11.01/11.24 (step t151.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t151.t2.t16))
% 11.01/11.24 (step t151.t2.t18 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.01/11.24 (step t151.t2.t19 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t151.t2.t18 t151.t2.a0))
% 11.01/11.24 (step t151.t2.t20 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule symm :premises (t151.t2.t19))
% 11.01/11.24 (step t151.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule trans :premises (t151.t2.t12 t151.t2.a2 t151.t2.t17 t151.t2.t20))
% 11.01/11.24 (step t151.t2.t22 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule cong :premises (t151.t2.t11 t151.t2.t21))
% 11.01/11.24 (step t151.t2.t23 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t151.t2.a5))
% 11.01/11.24 (step t151.t2.t24 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t151.t2.t23))
% 11.01/11.24 (step t151.t2.t25 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t151.t2.t24))
% 11.01/11.24 (step t151.t2.t26 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c10))) :rule cong :premises (t151.t2.t25))
% 11.01/11.24 (step t151.t2.t27 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) tptp.sk_c9)) :rule trans :premises (t151.t2.t26 t151.t2.t13))
% 11.01/11.24 (step t151.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t151.t2.a2))
% 11.01/11.24 (step t151.t2.t29 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.identity)) :rule trans :premises (t151.t2.t19 t151.t2.t16 t151.t2.t28))
% 11.01/11.24 (step t151.t2.t30 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (tptp.multiply tptp.sk_c9 tptp.identity))) :rule cong :premises (t151.t2.t27 t151.t2.t29))
% 11.01/11.24 (step t151.t2.t31 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c9 tptp.identity))) :rule trans :premises (t151.t2.t4 t151.t2.t8 t151.t2.t10 t151.t2.t22 t151.t2.t30))
% 11.01/11.24 (step t151.t2.t32 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.01/11.24 (step t151.t2.t33 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10))) :rule cong :premises (t151.t2.t31 t151.t2.t32))
% 11.01/11.24 (step t151.t2.t34 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10))) :rule symm :premises (t151.t2.a4))
% 11.01/11.24 (step t151.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t151.t2.t34))
% 11.01/11.24 (step t151.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t151.t2.a14))
% 11.01/11.24 (step t151.t2.t37 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t151.t2.t36))
% 11.01/11.24 (step t151.t2.t38 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) :rule symm :premises (t151.t2.a13))
% 11.01/11.24 (step t151.t2.t39 (cl (= (tptp.inverse tptp.sk_c3) tptp.identity)) :rule trans :premises (t151.t2.t38 t151.t2.t2 t151.t2.t33 t151.t2.t35 t151.t2.t16 t151.t2.t28))
% 11.01/11.24 (step t151.t2.t40 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.01/11.24 (step t151.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t151.t2.t39 t151.t2.t40))
% 11.01/11.24 (step t151.t2.t42 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t151.t2.a12))
% 11.01/11.24 (step t151.t2.t43 (cl (= tptp.identity tptp.sk_c3)) :rule trans :premises (t151.t2.t37 t151.t2.t41 t151.t2.t42))
% 11.01/11.24 (step t151.t2.t44 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t151.t2.t2 t151.t2.t33 t151.t2.t35 t151.t2.t16 t151.t2.t28))
% 11.01/11.24 (step t151.t2.t45 (cl (= tptp.identity tptp.sk_c9)) :rule symm :premises (t151.t2.t44))
% 11.01/11.24 (step t151.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule cong :premises (t151.t2.t43 t151.t2.t45))
% 11.01/11.24 (step t151.t2.t47 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t151.t2.a11))
% 11.01/11.24 (step t151.t2.t48 (cl (= tptp.identity tptp.sk_c8)) :rule trans :premises (t151.t2.a1 t151.t2.t46 t151.t2.t47))
% 11.01/11.24 (step t151.t2.t49 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule cong :premises (t151.t2.t48 t151.t2.t45))
% 11.01/11.24 (step t151.t2.t50 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.01/11.24 (step t151.t2.t51 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule trans :premises (t151.t2.t27 t151.t2.t44))
% 11.01/11.24 (step t151.t2.t52 (cl (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c10))) :rule trans :premises (t151.t2.t25 t151.t2.a0))
% 11.01/11.24 (step t151.t2.t53 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t151.t2.t51 t151.t2.t52))
% 11.01/11.24 (step t151.t2.t54 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t151.t2.a1 t151.t2.t15))
% 11.01/11.24 (step t151.t2.t55 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t151.t2.a1))
% 11.01/11.24 (step t151.t2.t56 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t151.t2.t55 t151.t2.t32))
% 11.01/11.24 (step t151.t2.t57 (cl (= tptp.sk_c9 tptp.sk_c10)) :rule trans :premises (t151.t2.t2 t151.t2.t33 t151.t2.t35 t151.t2.t16 t151.t2.t28 t151.t2.t6 t151.t2.t53 t151.t2.t54 t151.t2.t56 t151.t2.t15))
% 11.01/11.24 (step t151.t2.t58 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule cong :premises (t151.t2.t50 t151.t2.t57))
% 11.01/11.24 (step t151.t2.t59 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule trans :premises (t151.t2.t2 t151.t2.t33 t151.t2.t35 t151.t2.t16 t151.t2.t28 t151.t2.a1 t151.t2.t49 t151.t2.t58))
% 11.01/11.24 (step t151.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule subproof :discharge (t151.t2.a0 t151.t2.a1 t151.t2.a2 t151.t2.a3 t151.t2.a4 t151.t2.a5 t151.t2.a6 t151.t2.a7 t151.t2.a8 t151.t2.a9 t151.t2.a10 t151.t2.a11 t151.t2.a12 t151.t2.a13 t151.t2.a14))
% 11.01/11.24 (step t151.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t151.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.01/11.24 (step t151.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t151.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t151.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.01/11.24 (step t151.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t151.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t151.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t151.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (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_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t151.t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (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 and_pos)
% 11.01/11.24 (step t151.t13 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t151.t14 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule and_pos)
% 11.01/11.24 (step t151.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.01/11.24 (step t151.t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.01/11.24 (step t151.t17 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= 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 and_pos)
% 11.01/11.24 (step t151.t18 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule resolution :premises (t151.t2 t151.t3 t151.t4 t151.t5 t151.t6 t151.t7 t151.t8 t151.t9 t151.t10 t151.t11 t151.t12 t151.t13 t151.t14 t151.t15 t151.t16 t151.t17))
% 11.01/11.24 (step t151.t19 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule reordering :premises (t151.t18))
% 11.01/11.24 (step t151.t20 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule contraction :premises (t151.t19))
% 11.01/11.24 (step t151.t21 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule resolution :premises (t151.t1 t151.t20))
% 11.01/11.24 (step t151.t22 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule implies_neg2)
% 11.01/11.24 (step t151.t23 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t151.t21 t151.t22))
% 11.01/11.24 (step t151.t24 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule contraction :premises (t151.t23))
% 11.01/11.24 (step t151.t25 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule implies :premises (t151.t24))
% 11.01/11.24 (step t151.t26 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_neg)
% 11.01/11.24 (step t151.t27 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t151.t26 t151.a6 t151.a5 t151.a7 t151.a0 t151.a13 t151.a2 t151.a10 t151.a14 t151.a11 t151.a8 t151.a1 t151.a3 t151.a9 t151.a4 t151.a12))
% 11.01/11.24 (step t151.t28 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule resolution :premises (t151.t25 t151.t27))
% 11.01/11.24 (step t151 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule subproof :discharge (t151.a0 t151.a1 t151.a2 t151.a3 t151.a4 t151.a5 t151.a6 t151.a7 t151.a8 t151.a9 t151.a10 t151.a11 t151.a12 t151.a13 t151.a14))
% 11.01/11.24 (step t152 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t153 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t154 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t155 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule and_pos)
% 11.01/11.24 (step t156 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.01/11.24 (step t157 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.01/11.24 (step t158 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t159 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t160 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t161 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.01/11.24 (step t162 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t163 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t164 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.01/11.24 (step t165 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.01/11.24 (step t166 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t167 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))))) :rule resolution :premises (t151 t152 t153 t154 t155 t156 t157 t158 t159 t160 t161 t162 t163 t164 t165 t166))
% 11.01/11.24 (step t168 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule reordering :premises (t167))
% 11.01/11.24 (step t169 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule contraction :premises (t168))
% 11.01/11.24 (step t170 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule resolution :premises (t150 t169))
% 11.01/11.24 (step t171 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule implies_neg2)
% 11.01/11.24 (step t172 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t170 t171))
% 11.01/11.24 (step t173 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule contraction :premises (t172))
% 11.01/11.24 (step t174 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule implies :premises (t173))
% 11.01/11.24 (step t175 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule resolution :premises (t149 t174))
% 11.01/11.24 (step t176 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule reordering :premises (t175))
% 11.01/11.24 (step t177 (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_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t178)
% 11.01/11.24 (assume t178.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.01/11.24 (step t178.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.inverse tptp.sk_c2))) (:= Y (tptp.inverse tptp.sk_c2)) (:= Z tptp.sk_c2)))
% 11.01/11.24 (step t178.t2 (cl (not (forall ((X $$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_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule or :premises (t178.t1))
% 11.01/11.24 (step t178.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t178.t2 t178.a0))
% 11.01/11.24 (step t178 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule subproof :discharge (t178.a0))
% 11.01/11.24 (step t179 (cl (=> (forall ((X $$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_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t177 t178))
% 11.01/11.24 (step t180 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule implies_neg2)
% 11.01/11.24 (step t181 (cl (=> (forall ((X $$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_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t179 t180))
% 11.01/11.24 (step t182 (cl (=> (forall ((X $$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_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule contraction :premises (t181))
% 11.01/11.24 (step t183 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies :premises (t182))
% 11.01/11.24 (step t184 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t183 a2))
% 11.01/11.24 (step t185 (cl (=> (forall ((X $$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_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t186)
% 11.01/11.24 (assume t186.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.01/11.24 (step t186.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.sk_c9) (:= Y tptp.identity) (:= Z tptp.sk_c10)))
% 11.01/11.24 (step t186.t2 (cl (not (forall ((X $$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_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule or :premises (t186.t1))
% 11.01/11.24 (step t186.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t186.t2 t186.a0))
% 11.01/11.24 (step t186 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule subproof :discharge (t186.a0))
% 11.01/11.24 (step t187 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t185 t186))
% 11.01/11.24 (step t188 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule implies_neg2)
% 11.01/11.24 (step t189 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule resolution :premises (t187 t188))
% 11.01/11.24 (step t190 (cl (=> (forall ((X $$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_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule contraction :premises (t189))
% 11.01/11.24 (step t191 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies :premises (t190))
% 11.01/11.24 (step t192 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t191 a2))
% 11.01/11.24 (step t193 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t194)
% 11.01/11.24 (assume t194.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.01/11.24 (step t194.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 11.01/11.24 (step t194.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule or :premises (t194.t1))
% 11.01/11.24 (step t194.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t194.t2 t194.a0))
% 11.01/11.24 (step t194 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule subproof :discharge (t194.a0))
% 11.01/11.24 (step t195 (cl (=> (forall ((X $$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 (t193 t194))
% 11.01/11.24 (step t196 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg2)
% 11.01/11.24 (step t197 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t195 t196))
% 11.01/11.24 (step t198 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule contraction :premises (t197))
% 11.01/11.24 (step t199 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule implies :premises (t198))
% 11.01/11.24 (step t200 (cl (not (= (forall ((X $$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 $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 11.01/11.24 (anchor :step t201 :args ((X $$unsorted) (:= X X)))
% 11.01/11.24 (step t201.t1 (cl (= X X)) :rule refl)
% 11.01/11.24 (step t201.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 11.01/11.24 (step t201 (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)
% 11.01/11.24 (step t202 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t200 t201 a1))
% 11.01/11.24 (step t203 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t199 t202))
% 11.01/11.24 (step t204 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t205)
% 11.01/11.24 (assume t205.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.01/11.24 (step t205.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (step t205.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule or :premises (t205.t1))
% 11.01/11.24 (step t205.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t205.t2 t205.a0))
% 11.01/11.24 (step t205 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t205.a0))
% 11.01/11.24 (step t206 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t204 t205))
% 11.01/11.24 (step t207 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 11.01/11.24 (step t208 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t206 t207))
% 11.01/11.24 (step t209 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t208))
% 11.01/11.24 (step t210 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t209))
% 11.01/11.24 (step t211 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t210 t202))
% 11.01/11.24 (step t212 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t213)
% 11.01/11.24 (assume t213.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.01/11.24 (step t213.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 11.01/11.24 (step t213.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t213.t1))
% 11.01/11.24 (step t213.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t213.t2 t213.a0))
% 11.01/11.24 (step t213 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t213.a0))
% 11.01/11.24 (step t214 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t212 t213))
% 11.01/11.24 (step t215 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg2)
% 11.01/11.24 (step t216 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t214 t215))
% 11.01/11.24 (step t217 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t216))
% 11.01/11.24 (step t218 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t217))
% 11.01/11.24 (step t219 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t218 t202))
% 11.01/11.24 (step t220 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t221)
% 11.01/11.24 (assume t221.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.01/11.24 (step t221.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 11.01/11.24 (step t221.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule or :premises (t221.t1))
% 11.01/11.24 (step t221.t3 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t221.t2 t221.a0))
% 11.01/11.24 (step t221 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule subproof :discharge (t221.a0))
% 11.01/11.24 (step t222 (cl (=> (forall ((X $$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 (t220 t221))
% 11.01/11.24 (step t223 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies_neg2)
% 11.01/11.24 (step t224 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t222 t223))
% 11.01/11.24 (step t225 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule contraction :premises (t224))
% 11.01/11.24 (step t226 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule implies :premises (t225))
% 11.01/11.24 (step t227 (cl (not (= (forall ((X $$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 $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 11.01/11.24 (anchor :step t228 :args ((X $$unsorted) (:= X X)))
% 11.01/11.24 (step t228.t1 (cl (= X X)) :rule refl)
% 11.01/11.24 (step t228.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 11.01/11.24 (step t228 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 11.01/11.24 (step t229 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t227 t228 a0))
% 11.01/11.24 (step t230 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t226 t229))
% 11.01/11.24 (step t231 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t232)
% 11.01/11.24 (assume t232.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.01/11.24 (step t232.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 11.01/11.24 (step t232.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule or :premises (t232.t1))
% 11.01/11.24 (step t232.t3 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t232.t2 t232.a0))
% 11.01/11.24 (step t232 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule subproof :discharge (t232.a0))
% 11.01/11.24 (step t233 (cl (=> (forall ((X $$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 (t231 t232))
% 11.01/11.24 (step t234 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg2)
% 11.01/11.24 (step t235 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t233 t234))
% 11.01/11.24 (step t236 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule contraction :premises (t235))
% 11.01/11.24 (step t237 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule implies :premises (t236))
% 11.01/11.24 (step t238 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t237 t229))
% 11.01/11.24 (step t239 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t240)
% 11.01/11.24 (assume t240.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.01/11.24 (step t240.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule forall_inst :args ((:= X tptp.sk_c10)))
% 11.01/11.24 (step t240.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule or :premises (t240.t1))
% 11.01/11.24 (step t240.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule resolution :premises (t240.t2 t240.a0))
% 11.01/11.24 (step t240 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule subproof :discharge (t240.a0))
% 11.01/11.24 (step t241 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule resolution :premises (t239 t240))
% 11.01/11.24 (step t242 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule implies_neg2)
% 11.01/11.24 (step t243 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule resolution :premises (t241 t242))
% 11.01/11.24 (step t244 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule contraction :premises (t243))
% 11.01/11.24 (step t245 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule implies :premises (t244))
% 11.01/11.24 (step t246 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule resolution :premises (t245 t202))
% 11.01/11.24 (step t247 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t248)
% 11.01/11.24 (assume t248.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.01/11.24 (step t248.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule forall_inst :args ((:= X tptp.sk_c10)))
% 11.01/11.24 (step t248.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule or :premises (t248.t1))
% 11.01/11.24 (step t248.t3 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t248.t2 t248.a0))
% 11.01/11.24 (step t248 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule subproof :discharge (t248.a0))
% 11.01/11.24 (step t249 (cl (=> (forall ((X $$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 (t247 t248))
% 11.01/11.24 (step t250 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies_neg2)
% 11.01/11.24 (step t251 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t249 t250))
% 11.01/11.24 (step t252 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule contraction :premises (t251))
% 11.01/11.24 (step t253 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule implies :premises (t252))
% 11.01/11.24 (step t254 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t253 t229))
% 11.01/11.24 (step t255 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t256)
% 11.01/11.24 (assume t256.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.01/11.24 (step t256.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 11.01/11.24 (step t256.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t256.t1))
% 11.01/11.24 (step t256.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t256.t2 t256.a0))
% 11.01/11.24 (step t256 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t256.a0))
% 11.01/11.24 (step t257 (cl (=> (forall ((X $$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 (t255 t256))
% 11.01/11.24 (step t258 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg2)
% 11.01/11.24 (step t259 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t257 t258))
% 11.01/11.24 (step t260 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t259))
% 11.01/11.24 (step t261 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t260))
% 11.01/11.24 (step t262 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t261 t229))
% 11.01/11.24 (step t263 (cl (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule or_pos)
% 11.01/11.24 (step t264 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))))) :rule reordering :premises (t263))
% 11.01/11.24 (step t265 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule and_neg)
% 11.01/11.24 (step t266 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t267)
% 11.01/11.24 (assume t267.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.01/11.24 (assume t267.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.01/11.24 (assume t267.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.01/11.24 (assume t267.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.01/11.24 (assume t267.a4 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.01/11.24 (assume t267.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.01/11.24 (assume t267.a6 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.01/11.24 (assume t267.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.01/11.24 (assume t267.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (assume t267.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.01/11.24 (assume t267.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.01/11.24 (step t267.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t267.t2)
% 11.01/11.24 (assume t267.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.01/11.24 (assume t267.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.01/11.24 (assume t267.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.01/11.24 (assume t267.t2.a3 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.01/11.24 (assume t267.t2.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.01/11.24 (assume t267.t2.a5 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.01/11.24 (assume t267.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.01/11.24 (assume t267.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.01/11.24 (assume t267.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (assume t267.t2.a9 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.01/11.24 (assume t267.t2.a10 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.01/11.24 (step t267.t2.t1 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t267.t2.a3))
% 11.01/11.24 (step t267.t2.t2 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t267.t2.a10))
% 11.01/11.24 (step t267.t2.t3 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t267.t2.t2))
% 11.01/11.24 (step t267.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t267.t2.a9))
% 11.01/11.24 (step t267.t2.t5 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t267.t2.t4))
% 11.01/11.24 (step t267.t2.t6 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule symm :premises (t267.t2.a8))
% 11.01/11.24 (step t267.t2.t7 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule symm :premises (t267.t2.t6))
% 11.01/11.24 (step t267.t2.t8 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.01/11.24 (step t267.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule cong :premises (t267.t2.t7 t267.t2.t8))
% 11.01/11.24 (step t267.t2.t10 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule symm :premises (t267.t2.a7))
% 11.01/11.24 (step t267.t2.t11 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule symm :premises (t267.t2.t10))
% 11.01/11.24 (step t267.t2.t12 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule refl)
% 11.01/11.24 (step t267.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t267.t2.a6))
% 11.01/11.24 (step t267.t2.t14 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t267.t2.t1))
% 11.01/11.24 (step t267.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t267.t2.a0))
% 11.01/11.24 (step t267.t2.t16 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t267.t2.t14 t267.t2.t15))
% 11.01/11.24 (step t267.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t267.t2.t16))
% 11.01/11.24 (step t267.t2.t18 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.01/11.24 (step t267.t2.t19 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t267.t2.t18 t267.t2.a0))
% 11.01/11.24 (step t267.t2.t20 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule symm :premises (t267.t2.t19))
% 11.01/11.24 (step t267.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule trans :premises (t267.t2.t13 t267.t2.a2 t267.t2.t17 t267.t2.t20))
% 11.01/11.24 (step t267.t2.t22 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule cong :premises (t267.t2.t12 t267.t2.t21))
% 11.01/11.24 (step t267.t2.t23 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t267.t2.a5))
% 11.01/11.24 (step t267.t2.t24 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c10))) :rule cong :premises (t267.t2.t23))
% 11.01/11.24 (step t267.t2.t25 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) tptp.sk_c9)) :rule trans :premises (t267.t2.t24 t267.t2.t1))
% 11.01/11.24 (step t267.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t267.t2.a2))
% 11.01/11.24 (step t267.t2.t27 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.identity)) :rule trans :premises (t267.t2.t19 t267.t2.t16 t267.t2.t26))
% 11.01/11.24 (step t267.t2.t28 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (tptp.multiply tptp.sk_c9 tptp.identity))) :rule cong :premises (t267.t2.t25 t267.t2.t27))
% 11.01/11.24 (step t267.t2.t29 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c9 tptp.identity))) :rule trans :premises (t267.t2.t5 t267.t2.t9 t267.t2.t11 t267.t2.t22 t267.t2.t28))
% 11.01/11.24 (step t267.t2.t30 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.01/11.24 (step t267.t2.t31 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10))) :rule cong :premises (t267.t2.t29 t267.t2.t30))
% 11.01/11.24 (step t267.t2.t32 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10))) :rule symm :premises (t267.t2.a4))
% 11.01/11.24 (step t267.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t267.t2.t32))
% 11.01/11.24 (step t267.t2.t34 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t267.t2.t3 t267.t2.t31 t267.t2.t33 t267.t2.t16 t267.t2.t26))
% 11.01/11.24 (step t267.t2.t35 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule trans :premises (t267.t2.t25 t267.t2.t34))
% 11.01/11.24 (step t267.t2.t36 (cl (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c10))) :rule trans :premises (t267.t2.t23 t267.t2.a0))
% 11.01/11.24 (step t267.t2.t37 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t267.t2.t35 t267.t2.t36))
% 11.01/11.24 (step t267.t2.t38 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t267.t2.a1 t267.t2.t15))
% 11.01/11.24 (step t267.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t267.t2.a1))
% 11.01/11.24 (step t267.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t267.t2.t39 t267.t2.t30))
% 11.01/11.24 (step t267.t2.t41 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t267.t2.t7 t267.t2.t37 t267.t2.t38 t267.t2.t40 t267.t2.t15))
% 11.01/11.24 (step t267.t2.t42 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t267.t2.t23))
% 11.01/11.24 (step t267.t2.t43 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t267.t2.t7 t267.t2.t37 t267.t2.t38 t267.t2.t40 t267.t2.t15 t267.t2.t42))
% 11.01/11.24 (step t267.t2.t44 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule cong :premises (t267.t2.t41 t267.t2.t43))
% 11.01/11.24 (step t267.t2.t45 (cl (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule trans :premises (t267.t2.t1 t267.t2.t3 t267.t2.t31 t267.t2.t33 t267.t2.t16 t267.t2.t26 t267.t2.a1 t267.t2.t44))
% 11.01/11.24 (step t267.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t267.t2.a0 t267.t2.a1 t267.t2.a2 t267.t2.a3 t267.t2.a4 t267.t2.a5 t267.t2.a6 t267.t2.a7 t267.t2.a8 t267.t2.a9 t267.t2.a10))
% 11.01/11.24 (step t267.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t267.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.01/11.24 (step t267.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t267.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t267.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.01/11.24 (step t267.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t267.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t267.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t267.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t267.t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t267.t13 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t267.t14 (cl (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule resolution :premises (t267.t2 t267.t3 t267.t4 t267.t5 t267.t6 t267.t7 t267.t8 t267.t9 t267.t10 t267.t11 t267.t12 t267.t13))
% 11.01/11.24 (step t267.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule reordering :premises (t267.t14))
% 11.01/11.24 (step t267.t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t267.t15))
% 11.01/11.24 (step t267.t17 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t267.t1 t267.t16))
% 11.01/11.24 (step t267.t18 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 11.01/11.24 (step t267.t19 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t267.t17 t267.t18))
% 11.01/11.24 (step t267.t20 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t267.t19))
% 11.01/11.24 (step t267.t21 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t267.t20))
% 11.01/11.24 (step t267.t22 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_neg)
% 11.01/11.24 (step t267.t23 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t267.t22 t267.a4 t267.a3 t267.a5 t267.a0 t267.a9 t267.a2 t267.a7 t267.a10 t267.a8 t267.a6 t267.a1))
% 11.01/11.24 (step t267.t24 (cl (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t267.t21 t267.t23))
% 11.01/11.24 (step t267 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t267.a0 t267.a1 t267.a2 t267.a3 t267.a4 t267.a5 t267.a6 t267.a7 t267.a8 t267.a9 t267.a10))
% 11.01/11.24 (step t268 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t269 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t270 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t271 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.01/11.24 (step t272 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t273 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t274 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t275 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t276 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t277 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.01/11.24 (step t278 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t279 (cl (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))))) :rule resolution :premises (t267 t268 t269 t270 t271 t272 t273 t274 t275 t276 t277 t278))
% 11.01/11.24 (step t280 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule reordering :premises (t279))
% 11.01/11.24 (step t281 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t280))
% 11.01/11.24 (step t282 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t266 t281))
% 11.01/11.24 (step t283 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 11.01/11.24 (step t284 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t282 t283))
% 11.01/11.24 (step t285 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t284))
% 11.01/11.24 (step t286 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t285))
% 11.01/11.24 (step t287 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t265 t286))
% 11.01/11.24 (step t288 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t289)
% 11.01/11.24 (assume t289.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.01/11.24 (assume t289.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.01/11.24 (assume t289.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.01/11.24 (assume t289.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.01/11.24 (assume t289.a4 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.01/11.24 (assume t289.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.01/11.24 (assume t289.a6 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.01/11.24 (assume t289.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.01/11.24 (assume t289.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (assume t289.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.01/11.24 (assume t289.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.01/11.24 (step t289.t1 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t289.t2)
% 11.01/11.24 (assume t289.t2.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.01/11.24 (assume t289.t2.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.01/11.24 (assume t289.t2.a2 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.01/11.24 (assume t289.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (assume t289.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.01/11.24 (assume t289.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.01/11.24 (assume t289.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.01/11.24 (assume t289.t2.a7 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.01/11.24 (assume t289.t2.a8 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.01/11.24 (assume t289.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.01/11.24 (assume t289.t2.a10 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.01/11.24 (step t289.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t289.t2.a2))
% 11.01/11.24 (step t289.t2.t2 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t289.t2.t1))
% 11.01/11.24 (step t289.t2.t3 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule symm :premises (t289.t2.a3))
% 11.01/11.24 (step t289.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule symm :premises (t289.t2.t3))
% 11.01/11.24 (step t289.t2.t5 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule symm :premises (t289.t2.t4))
% 11.01/11.24 (step t289.t2.t6 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.01/11.24 (step t289.t2.t7 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t289.t2.t5 t289.t2.t6))
% 11.01/11.24 (step t289.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule symm :premises (t289.t2.t7))
% 11.01/11.24 (step t289.t2.t9 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule symm :premises (t289.t2.a4))
% 11.01/11.24 (step t289.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule symm :premises (t289.t2.t9))
% 11.01/11.24 (step t289.t2.t11 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule refl)
% 11.01/11.24 (step t289.t2.t12 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.01/11.24 (step t289.t2.t13 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t289.t2.t12 t289.t2.a7))
% 11.01/11.24 (step t289.t2.t14 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t289.t2.a0))
% 11.01/11.24 (step t289.t2.t15 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t289.t2.t14))
% 11.01/11.24 (step t289.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t289.t2.a7))
% 11.01/11.24 (step t289.t2.t17 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t289.t2.t15 t289.t2.t16))
% 11.01/11.24 (step t289.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t289.t2.a6))
% 11.01/11.24 (step t289.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t289.t2.a5))
% 11.01/11.24 (step t289.t2.t20 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t289.t2.t19))
% 11.01/11.24 (step t289.t2.t21 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule trans :premises (t289.t2.t13 t289.t2.t17 t289.t2.t18 t289.t2.t20))
% 11.01/11.24 (step t289.t2.t22 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule cong :premises (t289.t2.t11 t289.t2.t21))
% 11.01/11.24 (step t289.t2.t23 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule symm :premises (t289.t2.t22))
% 11.01/11.24 (step t289.t2.t24 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t289.t2.a8))
% 11.01/11.24 (step t289.t2.t25 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t289.t2.t24))
% 11.01/11.24 (step t289.t2.t26 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule cong :premises (t289.t2.t25))
% 11.01/11.24 (step t289.t2.t27 (cl (= tptp.sk_c9 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule trans :premises (t289.t2.t15 t289.t2.t26))
% 11.01/11.24 (step t289.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t289.t2.t17))
% 11.01/11.24 (step t289.t2.t29 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule symm :premises (t289.t2.t13))
% 11.01/11.24 (step t289.t2.t30 (cl (= tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule trans :premises (t289.t2.a6 t289.t2.t28 t289.t2.t29))
% 11.01/11.24 (step t289.t2.t31 (cl (= (tptp.multiply tptp.sk_c9 tptp.identity) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule cong :premises (t289.t2.t27 t289.t2.t30))
% 11.01/11.24 (step t289.t2.t32 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (tptp.multiply tptp.sk_c9 tptp.identity))) :rule symm :premises (t289.t2.t31))
% 11.01/11.24 (step t289.t2.t33 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10))) :rule symm :premises (t289.t2.a9))
% 11.01/11.24 (step t289.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t289.t2.t33))
% 11.01/11.24 (step t289.t2.t35 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10))) :rule symm :premises (t289.t2.t34))
% 11.01/11.24 (step t289.t2.t36 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule symm :premises (t289.t2.t10))
% 11.01/11.24 (step t289.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t289.t2.t2))
% 11.01/11.24 (step t289.t2.t38 (cl (= (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c2)) :rule trans :premises (t289.t2.t31 t289.t2.t22 t289.t2.t36 t289.t2.t7 t289.t2.t37))
% 11.01/11.24 (step t289.t2.t39 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.01/11.24 (step t289.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule cong :premises (t289.t2.t38 t289.t2.t39))
% 11.01/11.24 (step t289.t2.t41 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t289.t2.a1))
% 11.01/11.24 (step t289.t2.t42 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t289.t2.t41))
% 11.01/11.24 (step t289.t2.t43 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t289.t2.t42))
% 11.01/11.24 (step t289.t2.t44 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t289.t2.a6 t289.t2.t28 t289.t2.t35 t289.t2.t40 t289.t2.t43))
% 11.01/11.24 (step t289.t2.t45 (cl (= tptp.sk_c9 tptp.identity)) :rule symm :premises (t289.t2.t44))
% 11.01/11.24 (step t289.t2.t46 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.01/11.24 (step t289.t2.t47 (cl (= (tptp.multiply tptp.sk_c9 tptp.identity) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t289.t2.t45 t289.t2.t46))
% 11.01/11.24 (step t289.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t289.t2.a10))
% 11.01/11.24 (step t289.t2.t49 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t289.t2.t2 t289.t2.t8 t289.t2.t10 t289.t2.t23 t289.t2.t32 t289.t2.t47 t289.t2.t48))
% 11.01/11.24 (step t289.t2.t50 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse tptp.identity))) :rule cong :premises (t289.t2.t49))
% 11.01/11.24 (step t289.t2.t51 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c9))) :rule cong :premises (t289.t2.t44))
% 11.01/11.24 (step t289.t2.t52 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule cong :premises (t289.t2.t15))
% 11.01/11.24 (step t289.t2.t53 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule trans :premises (t289.t2.t50 t289.t2.t51 t289.t2.t52))
% 11.01/11.24 (step t289.t2 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (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.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule subproof :discharge (t289.t2.a0 t289.t2.a1 t289.t2.a2 t289.t2.a3 t289.t2.a4 t289.t2.a5 t289.t2.a6 t289.t2.a7 t289.t2.a8 t289.t2.a9 t289.t2.a10))
% 11.01/11.24 (step t289.t3 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t289.t4 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t289.t5 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t289.t6 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t289.t7 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t289.t8 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t289.t9 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t289.t10 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t289.t11 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t289.t12 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.01/11.24 (step t289.t13 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.01/11.24 (step t289.t14 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t289.t2 t289.t3 t289.t4 t289.t5 t289.t6 t289.t7 t289.t8 t289.t9 t289.t10 t289.t11 t289.t12 t289.t13))
% 11.01/11.24 (step t289.t15 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule reordering :premises (t289.t14))
% 11.01/11.24 (step t289.t16 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule contraction :premises (t289.t15))
% 11.01/11.24 (step t289.t17 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t289.t1 t289.t16))
% 11.01/11.24 (step t289.t18 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule implies_neg2)
% 11.01/11.24 (step t289.t19 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule resolution :premises (t289.t17 t289.t18))
% 11.01/11.24 (step t289.t20 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule contraction :premises (t289.t19))
% 11.01/11.24 (step t289.t21 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule implies :premises (t289.t20))
% 11.01/11.24 (step t289.t22 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (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.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 11.01/11.24 (step t289.t23 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t289.t22 t289.a0 t289.a1 t289.a6 t289.a8 t289.a10 t289.a7 t289.a5 t289.a4 t289.a2 t289.a9 t289.a3))
% 11.01/11.24 (step t289.t24 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t289.t21 t289.t23))
% 11.01/11.24 (step t289 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule subproof :discharge (t289.a0 t289.a1 t289.a2 t289.a3 t289.a4 t289.a5 t289.a6 t289.a7 t289.a8 t289.a9 t289.a10))
% 11.01/11.24 (step t290 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t291 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t292 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t293 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.01/11.24 (step t294 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t295 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t296 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t297 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t298 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t299 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.01/11.24 (step t300 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t301 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))))) :rule resolution :premises (t289 t290 t291 t292 t293 t294 t295 t296 t297 t298 t299 t300))
% 11.01/11.24 (step t302 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule reordering :premises (t301))
% 11.01/11.24 (step t303 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule contraction :premises (t302))
% 11.01/11.24 (step t304 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t288 t303))
% 11.01/11.24 (step t305 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule implies_neg2)
% 11.01/11.24 (step t306 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule resolution :premises (t304 t305))
% 11.01/11.24 (step t307 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule contraction :premises (t306))
% 11.01/11.24 (step t308 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule implies :premises (t307))
% 11.01/11.24 (step t309 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t265 t308))
% 11.01/11.24 (step t310 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule and_neg)
% 11.01/11.24 (step t311 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t312)
% 11.01/11.24 (assume t312.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.01/11.24 (assume t312.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.01/11.24 (assume t312.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.01/11.24 (assume t312.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.01/11.24 (assume t312.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.01/11.24 (assume t312.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.01/11.24 (assume t312.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.01/11.24 (assume t312.a7 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.01/11.24 (assume t312.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.01/11.24 (assume t312.a9 (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (assume t312.a10 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (assume t312.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.01/11.24 (assume t312.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.01/11.24 (assume t312.a13 (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))))
% 11.01/11.24 (assume t312.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.01/11.24 (step t312.t1 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 11.01/11.24 (anchor :step t312.t2)
% 11.01/11.24 (assume t312.t2.a0 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.01/11.24 (assume t312.t2.a1 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.01/11.24 (assume t312.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (assume t312.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.01/11.24 (assume t312.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.01/11.24 (assume t312.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.01/11.24 (assume t312.t2.a6 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.01/11.24 (assume t312.t2.a7 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.01/11.24 (assume t312.t2.a8 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.01/11.24 (assume t312.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.01/11.24 (assume t312.t2.a10 (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))
% 11.01/11.24 (assume t312.t2.a11 (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))))
% 11.01/11.24 (assume t312.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.01/11.24 (assume t312.t2.a13 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.01/11.24 (assume t312.t2.a14 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.01/11.24 (step t312.t2.t1 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.01/11.24 (step t312.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t312.t2.a14 t312.t2.t1))
% 11.01/11.24 (step t312.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t312.t2.a14))
% 11.01/11.24 (step t312.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t312.t2.t3 t312.t2.a7))
% 11.01/11.24 (step t312.t2.t5 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t312.t2.a6))
% 11.01/11.24 (step t312.t2.t6 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t312.t2.t5))
% 11.01/11.24 (step t312.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t312.t2.a7))
% 11.01/11.24 (step t312.t2.t8 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t312.t2.t6 t312.t2.t7))
% 11.01/11.24 (step t312.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t312.t2.t8))
% 11.01/11.24 (step t312.t2.t10 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10))) :rule symm :premises (t312.t2.a9))
% 11.01/11.24 (step t312.t2.t11 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t312.t2.t10))
% 11.01/11.24 (step t312.t2.t12 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10))) :rule symm :premises (t312.t2.t11))
% 11.01/11.24 (step t312.t2.t13 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t312.t2.a8))
% 11.01/11.24 (step t312.t2.t14 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t312.t2.t13))
% 11.01/11.24 (step t312.t2.t15 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule cong :premises (t312.t2.t14))
% 11.01/11.24 (step t312.t2.t16 (cl (= tptp.sk_c9 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule trans :premises (t312.t2.t6 t312.t2.t15))
% 11.01/11.24 (step t312.t2.t17 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.01/11.24 (step t312.t2.t18 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t312.t2.t17 t312.t2.a7))
% 11.01/11.24 (step t312.t2.t19 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule symm :premises (t312.t2.t18))
% 11.01/11.24 (step t312.t2.t20 (cl (= tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule trans :premises (t312.t2.a5 t312.t2.t9 t312.t2.t19))
% 11.01/11.24 (step t312.t2.t21 (cl (= (tptp.multiply tptp.sk_c9 tptp.identity) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule cong :premises (t312.t2.t16 t312.t2.t20))
% 11.01/11.24 (step t312.t2.t22 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule refl)
% 11.01/11.24 (step t312.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t312.t2.a5))
% 11.01/11.24 (step t312.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t312.t2.a4))
% 11.01/11.24 (step t312.t2.t25 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t312.t2.t24))
% 11.01/11.24 (step t312.t2.t26 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule trans :premises (t312.t2.t18 t312.t2.t8 t312.t2.t23 t312.t2.t25))
% 11.01/11.24 (step t312.t2.t27 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule cong :premises (t312.t2.t22 t312.t2.t26))
% 11.01/11.24 (step t312.t2.t28 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule symm :premises (t312.t2.a3))
% 11.01/11.24 (step t312.t2.t29 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule symm :premises (t312.t2.t28))
% 11.01/11.24 (step t312.t2.t30 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule symm :premises (t312.t2.t29))
% 11.01/11.24 (step t312.t2.t31 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule symm :premises (t312.t2.a2))
% 11.01/11.24 (step t312.t2.t32 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule symm :premises (t312.t2.t31))
% 11.01/11.24 (step t312.t2.t33 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule symm :premises (t312.t2.t32))
% 11.01/11.24 (step t312.t2.t34 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.01/11.24 (step t312.t2.t35 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t312.t2.t33 t312.t2.t34))
% 11.01/11.24 (step t312.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t312.t2.a1))
% 11.01/11.24 (step t312.t2.t37 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t312.t2.t36))
% 11.01/11.24 (step t312.t2.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t312.t2.t37))
% 11.01/11.24 (step t312.t2.t39 (cl (= (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c2)) :rule trans :premises (t312.t2.t21 t312.t2.t27 t312.t2.t30 t312.t2.t35 t312.t2.t38))
% 11.01/11.24 (step t312.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule cong :premises (t312.t2.t39 t312.t2.t1))
% 11.01/11.24 (step t312.t2.t41 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t312.t2.a0))
% 11.01/11.24 (step t312.t2.t42 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t312.t2.t41))
% 11.01/11.24 (step t312.t2.t43 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t312.t2.t42))
% 11.01/11.24 (step t312.t2.t44 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t312.t2.a5 t312.t2.t9 t312.t2.t12 t312.t2.t40 t312.t2.t43))
% 11.01/11.24 (step t312.t2.t45 (cl (= tptp.identity (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule trans :premises (t312.t2.t44 t312.t2.t16))
% 11.01/11.24 (step t312.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.inverse tptp.sk_c2))) :rule trans :premises (t312.t2.t7 t312.t2.t14))
% 11.01/11.24 (step t312.t2.t47 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule cong :premises (t312.t2.t45 t312.t2.t46))
% 11.01/11.24 (step t312.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t312.t2.a13))
% 11.01/11.24 (step t312.t2.t49 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t312.t2.t48))
% 11.01/11.24 (step t312.t2.t50 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule cong :premises (t312.t2.a5 t312.t2.t17))
% 11.01/11.24 (step t312.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t312.t2.a12))
% 11.01/11.24 (step t312.t2.t52 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t312.t2.t51))
% 11.01/11.24 (step t312.t2.t53 (cl (= tptp.sk_c9 tptp.identity)) :rule symm :premises (t312.t2.t44))
% 11.01/11.24 (step t312.t2.t54 (cl (= (tptp.inverse tptp.sk_c10) tptp.identity)) :rule trans :premises (t312.t2.t5 t312.t2.t53))
% 11.01/11.24 (step t312.t2.t55 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule cong :premises (t312.t2.t14 t312.t2.t17))
% 11.01/11.24 (step t312.t2.t56 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse tptp.sk_c2))) :rule refl)
% 11.01/11.24 (step t312.t2.t57 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule cong :premises (t312.t2.t56 t312.t2.t44))
% 11.01/11.24 (step t312.t2.t58 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) :rule symm :premises (t312.t2.t57))
% 11.01/11.24 (step t312.t2.t59 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) :rule trans :premises (t312.t2.t55 t312.t2.t58))
% 11.01/11.24 (step t312.t2.t60 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) :rule cong :premises (t312.t2.t54 t312.t2.t59))
% 11.01/11.24 (step t312.t2.t61 (cl (= (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)) (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity))) :rule symm :premises (t312.t2.a11))
% 11.01/11.24 (step t312.t2.t62 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) :rule symm :premises (t312.t2.a10))
% 11.01/11.24 (step t312.t2.t63 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.01/11.24 (step t312.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) :rule cong :premises (t312.t2.t62 t312.t2.t63))
% 11.01/11.24 (step t312.t2.t65 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule trans :premises (t312.t2.a7 t312.t2.t2 t312.t2.t4 t312.t2.t47 t312.t2.t33 t312.t2.a5 t312.t2.t9 t312.t2.t12 t312.t2.t40 t312.t2.t43 t312.t2.t49 t312.t2.t50 t312.t2.t52 t312.t2.t60 t312.t2.t61 t312.t2.t64 t312.t2.t57))
% 11.01/11.24 (step t312.t2 (cl (not (= tptp.sk_c9 (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.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule subproof :discharge (t312.t2.a0 t312.t2.a1 t312.t2.a2 t312.t2.a3 t312.t2.a4 t312.t2.a5 t312.t2.a6 t312.t2.a7 t312.t2.a8 t312.t2.a9 t312.t2.a10 t312.t2.a11 t312.t2.a12 t312.t2.a13 t312.t2.a14))
% 11.01/11.24 (step t312.t3 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t312.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t312.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t312.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t312.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t312.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t312.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t312.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t312.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t312.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.01/11.24 (step t312.t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t312.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) :rule and_pos)
% 11.01/11.24 (step t312.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.01/11.24 (step t312.t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.01/11.24 (step t312.t17 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.01/11.24 (step t312.t18 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9)) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t312.t2 t312.t3 t312.t4 t312.t5 t312.t6 t312.t7 t312.t8 t312.t9 t312.t10 t312.t11 t312.t12 t312.t13 t312.t14 t312.t15 t312.t16 t312.t17))
% 11.01/11.24 (step t312.t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule reordering :premises (t312.t18))
% 11.01/11.24 (step t312.t20 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule contraction :premises (t312.t19))
% 11.01/11.24 (step t312.t21 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule resolution :premises (t312.t1 t312.t20))
% 11.01/11.24 (step t312.t22 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9)))) :rule implies_neg2)
% 11.01/11.24 (step t312.t23 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9)))) :rule resolution :premises (t312.t21 t312.t22))
% 11.01/11.24 (step t312.t24 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9)))) :rule contraction :premises (t312.t23))
% 11.01/11.24 (step t312.t25 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule implies :premises (t312.t24))
% 11.01/11.24 (step t312.t26 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (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.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 11.01/11.24 (step t312.t27 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t312.t26 t312.a1 t312.a7 t312.a10 t312.a14 t312.a8 t312.a6 t312.a0 t312.a5 t312.a2 t312.a12 t312.a9 t312.a13 t312.a11 t312.a4 t312.a3))
% 11.01/11.24 (step t312.t28 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule resolution :premises (t312.t25 t312.t27))
% 11.01/11.24 (step t312 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule subproof :discharge (t312.a0 t312.a1 t312.a2 t312.a3 t312.a4 t312.a5 t312.a6 t312.a7 t312.a8 t312.a9 t312.a10 t312.a11 t312.a12 t312.a13 t312.a14))
% 11.01/11.24 (step t313 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t314 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t315 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t316 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.01/11.24 (step t317 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.01/11.24 (step t318 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t319 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.01/11.24 (step t320 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t321 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.01/11.24 (step t322 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t323 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t324 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.01/11.24 (step t325 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.01/11.24 (step t326 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) :rule and_pos)
% 11.01/11.24 (step t327 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.01/11.24 (step t328 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9)) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))))) :rule resolution :premises (t312 t313 t314 t315 t316 t317 t318 t319 t320 t321 t322 t323 t324 t325 t326 t327))
% 11.01/11.24 (step t329 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule reordering :premises (t328))
% 11.01/11.24 (step t330 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule contraction :premises (t329))
% 11.04/11.24 (step t331 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule resolution :premises (t311 t330))
% 11.04/11.24 (step t332 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9)))) :rule implies_neg2)
% 11.04/11.24 (step t333 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9)))) :rule resolution :premises (t331 t332))
% 11.04/11.24 (step t334 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9)))) :rule contraction :premises (t333))
% 11.04/11.24 (step t335 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule implies :premises (t334))
% 11.04/11.24 (step t336 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c9))) :rule resolution :premises (t310 t335))
% 11.04/11.24 (step t337 (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.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.04/11.24 (anchor :step t338)
% 11.04/11.24 (assume t338.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.04/11.24 (step t338.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y (tptp.inverse tptp.sk_c2)) (:= Z tptp.identity)))
% 11.04/11.24 (step t338.t2 (cl (not (forall ((X $$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.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) :rule or :premises (t338.t1))
% 11.04/11.24 (step t338.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) :rule resolution :premises (t338.t2 t338.a0))
% 11.04/11.24 (step t338 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) :rule subproof :discharge (t338.a0))
% 11.04/11.24 (step t339 (cl (=> (forall ((X $$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.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) :rule resolution :premises (t337 t338))
% 11.04/11.24 (step t340 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))))) :rule implies_neg2)
% 11.04/11.24 (step t341 (cl (=> (forall ((X $$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.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))))) :rule resolution :premises (t339 t340))
% 11.04/11.24 (step t342 (cl (=> (forall ((X $$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.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity))))) :rule contraction :premises (t341))
% 11.04/11.24 (step t343 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) :rule implies :premises (t342))
% 11.04/11.24 (step t344 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.identity)))) :rule resolution :premises (t343 a2))
% 11.04/11.24 (step t345 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.04/11.24 (anchor :step t346)
% 11.04/11.24 (assume t346.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.04/11.24 (step t346.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c10)) (:= Y tptp.sk_c10) (:= Z tptp.sk_c9)))
% 11.04/11.24 (step t346.t2 (cl (not (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule or :premises (t346.t1))
% 11.04/11.24 (step t346.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule resolution :premises (t346.t2 t346.a0))
% 11.04/11.24 (step t346 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule subproof :discharge (t346.a0))
% 11.04/11.24 (step t347 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule resolution :premises (t345 t346))
% 11.04/11.24 (step t348 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg2)
% 11.04/11.24 (step t349 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule resolution :premises (t347 t348))
% 11.04/11.24 (step t350 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule contraction :premises (t349))
% 11.04/11.24 (step t351 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule implies :premises (t350))
% 11.04/11.24 (step t352 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule resolution :premises (t351 a2))
% 11.04/11.24 (step t353 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.04/11.24 (anchor :step t354)
% 11.04/11.24 (assume t354.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.04/11.24 (step t354.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c2))))
% 11.04/11.24 (step t354.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule or :premises (t354.t1))
% 11.04/11.24 (step t354.t3 (cl (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t354.t2 t354.a0))
% 11.04/11.24 (step t354 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t354.a0))
% 11.04/11.24 (step t355 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t353 t354))
% 11.04/11.24 (step t356 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 11.04/11.24 (step t357 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t355 t356))
% 11.04/11.24 (step t358 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t357))
% 11.04/11.24 (step t359 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t358))
% 11.04/11.24 (step t360 (cl (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t359 t229))
% 11.04/11.24 (step t361 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.04/11.24 (anchor :step t362)
% 11.04/11.24 (assume t362.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.04/11.24 (step t362.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule forall_inst :args ((:= X tptp.sk_c9)))
% 11.04/11.24 (step t362.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule or :premises (t362.t1))
% 11.04/11.24 (step t362.t3 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t362.t2 t362.a0))
% 11.04/11.24 (step t362 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule subproof :discharge (t362.a0))
% 11.04/11.24 (step t363 (cl (=> (forall ((X $$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 (t361 t362))
% 11.04/11.24 (step t364 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule implies_neg2)
% 11.04/11.24 (step t365 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t363 t364))
% 11.04/11.24 (step t366 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule contraction :premises (t365))
% 11.04/11.24 (step t367 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule implies :premises (t366))
% 11.04/11.24 (step t368 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t367 t229))
% 11.04/11.24 (step t369 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule implies_neg1)
% 11.04/11.24 (anchor :step t370)
% 11.04/11.24 (assume t370.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.24 (assume t370.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.04/11.24 (assume t370.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.04/11.24 (assume t370.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.24 (assume t370.a4 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.24 (assume t370.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.24 (assume t370.a6 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.04/11.24 (assume t370.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.04/11.24 (assume t370.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.04/11.24 (assume t370.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.04/11.24 (assume t370.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.04/11.24 (step t370.t1 (cl (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t370.t2)
% 11.04/11.25 (assume t370.t2.a0 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.04/11.25 (assume t370.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))))
% 11.04/11.25 (assume t370.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))
% 11.04/11.25 (assume t370.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.04/11.25 (assume t370.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t370.t2.a5 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t370.t2.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t370.t2.a7 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.04/11.25 (assume t370.t2.a8 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.04/11.25 (assume t370.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.04/11.25 (assume t370.t2.a10 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (step t370.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t370.t2.a10))
% 11.04/11.25 (step t370.t2.t2 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.04/11.25 (step t370.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t370.t2.t1 t370.t2.t2))
% 11.04/11.25 (step t370.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t370.t2.t3))
% 11.04/11.25 (step t370.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t370.t2.a6))
% 11.04/11.25 (step t370.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t370.t2.a10 t370.t2.t5))
% 11.04/11.25 (step t370.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t370.t2.t6))
% 11.04/11.25 (step t370.t2.t8 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t370.t2.a7))
% 11.04/11.25 (step t370.t2.t9 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c10))) :rule cong :premises (t370.t2.t8))
% 11.04/11.25 (step t370.t2.t10 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t370.t2.a5))
% 11.04/11.25 (step t370.t2.t11 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) tptp.sk_c9)) :rule trans :premises (t370.t2.t9 t370.t2.t10))
% 11.04/11.25 (step t370.t2.t12 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t370.t2.a8))
% 11.04/11.25 (step t370.t2.t13 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule symm :premises (t370.t2.t12))
% 11.04/11.25 (step t370.t2.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t370.t2.a0))
% 11.04/11.25 (step t370.t2.t15 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t370.t2.t14))
% 11.04/11.25 (step t370.t2.t16 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule symm :premises (t370.t2.a1))
% 11.04/11.25 (step t370.t2.t17 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule symm :premises (t370.t2.t16))
% 11.04/11.25 (step t370.t2.t18 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.04/11.25 (step t370.t2.t19 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule cong :premises (t370.t2.t17 t370.t2.t18))
% 11.04/11.25 (step t370.t2.t20 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2))) :rule symm :premises (t370.t2.a2))
% 11.04/11.25 (step t370.t2.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule symm :premises (t370.t2.t20))
% 11.04/11.25 (step t370.t2.t22 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule refl)
% 11.04/11.25 (step t370.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t370.t2.a3))
% 11.04/11.25 (step t370.t2.t24 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t370.t2.t10))
% 11.04/11.25 (step t370.t2.t25 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t370.t2.t24 t370.t2.t5))
% 11.04/11.25 (step t370.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t370.t2.t25))
% 11.04/11.25 (step t370.t2.t27 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.04/11.25 (step t370.t2.t28 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t370.t2.t27 t370.t2.a6))
% 11.04/11.25 (step t370.t2.t29 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule symm :premises (t370.t2.t28))
% 11.04/11.25 (step t370.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule trans :premises (t370.t2.t23 t370.t2.a4 t370.t2.t26 t370.t2.t29))
% 11.04/11.25 (step t370.t2.t31 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule cong :premises (t370.t2.t22 t370.t2.t30))
% 11.04/11.25 (step t370.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t370.t2.a4))
% 11.04/11.25 (step t370.t2.t33 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c10) tptp.identity)) :rule trans :premises (t370.t2.t28 t370.t2.t25 t370.t2.t32))
% 11.04/11.25 (step t370.t2.t34 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (tptp.multiply tptp.sk_c9 tptp.identity))) :rule cong :premises (t370.t2.t11 t370.t2.t33))
% 11.04/11.25 (step t370.t2.t35 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c9 tptp.identity))) :rule trans :premises (t370.t2.t15 t370.t2.t19 t370.t2.t21 t370.t2.t31 t370.t2.t34))
% 11.04/11.25 (step t370.t2.t36 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10))) :rule cong :premises (t370.t2.t35 t370.t2.t2))
% 11.04/11.25 (step t370.t2.t37 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10))) :rule symm :premises (t370.t2.a9))
% 11.04/11.25 (step t370.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t370.t2.t37))
% 11.04/11.25 (step t370.t2.t39 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t370.t2.t13 t370.t2.t36 t370.t2.t38 t370.t2.t25 t370.t2.t32))
% 11.04/11.25 (step t370.t2.t40 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) tptp.identity)) :rule trans :premises (t370.t2.t11 t370.t2.t39))
% 11.04/11.25 (step t370.t2.t41 (cl (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c10))) :rule trans :premises (t370.t2.t8 t370.t2.a6))
% 11.04/11.25 (step t370.t2.t42 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t370.t2.t40 t370.t2.t41))
% 11.04/11.25 (step t370.t2.t43 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule symm :premises (t370.t2.t42))
% 11.04/11.25 (step t370.t2.t44 (cl (= tptp.identity tptp.sk_c9)) :rule symm :premises (t370.t2.t39))
% 11.04/11.25 (step t370.t2.t45 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.04/11.25 (step t370.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c9 tptp.identity))) :rule cong :premises (t370.t2.t44 t370.t2.t45))
% 11.04/11.25 (step t370.t2.t47 (cl (= (tptp.multiply tptp.sk_c9 tptp.identity) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule symm :premises (t370.t2.t34))
% 11.04/11.25 (step t370.t2.t48 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule symm :premises (t370.t2.t31))
% 11.04/11.25 (step t370.t2.t49 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t370.t2.t19))
% 11.04/11.25 (step t370.t2.t50 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t370.t2.a10 t370.t2.t46 t370.t2.t47 t370.t2.t48 t370.t2.t20 t370.t2.t49 t370.t2.t14))
% 11.04/11.25 (step t370.t2.t51 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t370.t2.t8))
% 11.04/11.25 (step t370.t2.t52 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t370.t2.t17 t370.t2.t42 t370.t2.t6 t370.t2.t3 t370.t2.t5 t370.t2.t51))
% 11.04/11.25 (step t370.t2.t53 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule cong :premises (t370.t2.t50 t370.t2.t52))
% 11.04/11.25 (step t370.t2.t54 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule trans :premises (t370.t2.a6 t370.t2.t4 t370.t2.t7 t370.t2.t43 t370.t2.t16 t370.t2.a10 t370.t2.t53))
% 11.04/11.25 (step t370.t2 (cl (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t370.t2.a0 t370.t2.a1 t370.t2.a2 t370.t2.a3 t370.t2.a4 t370.t2.a5 t370.t2.a6 t370.t2.a7 t370.t2.a8 t370.t2.a9 t370.t2.a10))
% 11.04/11.25 (step t370.t3 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.04/11.25 (step t370.t4 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.04/11.25 (step t370.t5 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.04/11.25 (step t370.t6 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.04/11.25 (step t370.t7 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t370.t8 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t370.t9 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t370.t10 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.04/11.25 (step t370.t11 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t370.t12 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t370.t13 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t370.t14 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t370.t2 t370.t3 t370.t4 t370.t5 t370.t6 t370.t7 t370.t8 t370.t9 t370.t10 t370.t11 t370.t12 t370.t13))
% 11.04/11.25 (step t370.t15 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule reordering :premises (t370.t14))
% 11.04/11.25 (step t370.t16 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t370.t15))
% 11.04/11.25 (step t370.t17 (cl (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t370.t1 t370.t16))
% 11.04/11.25 (step t370.t18 (cl (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 11.04/11.25 (step t370.t19 (cl (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t370.t17 t370.t18))
% 11.04/11.25 (step t370.t20 (cl (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t370.t19))
% 11.04/11.25 (step t370.t21 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t370.t20))
% 11.04/11.25 (step t370.t22 (cl (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 11.04/11.25 (step t370.t23 (cl (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t370.t22 t370.a6 t370.a8 t370.a10 t370.a7 t370.a5 t370.a0 t370.a4 t370.a2 t370.a1 t370.a9 t370.a3))
% 11.04/11.25 (step t370.t24 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t370.t21 t370.t23))
% 11.04/11.25 (step t370 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t370.a0 t370.a1 t370.a2 t370.a3 t370.a4 t370.a5 t370.a6 t370.a7 t370.a8 t370.a9 t370.a10))
% 11.04/11.25 (step t371 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t372 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t373 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.04/11.25 (step t374 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t375 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t376 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t377 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.04/11.25 (step t378 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.04/11.25 (step t379 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 11.04/11.25 (step t380 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t381 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_pos)
% 11.04/11.25 (step t382 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))))) :rule resolution :premises (t370 t371 t372 t373 t374 t375 t376 t377 t378 t379 t380 t381))
% 11.04/11.25 (step t383 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule reordering :premises (t382))
% 11.04/11.25 (step t384 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t383))
% 11.04/11.25 (step t385 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t369 t384))
% 11.04/11.25 (step t386 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 11.04/11.25 (step t387 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t385 t386))
% 11.04/11.25 (step t388 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t387))
% 11.04/11.25 (step t389 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t388))
% 11.04/11.25 (step t390 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c2)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t265 t389))
% 11.04/11.25 (step t391 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule or_pos)
% 11.04/11.25 (step t392 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule reordering :premises (t391))
% 11.04/11.25 (step t393 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t141 t148 t176 t184 t192 t203 t211 t219 t230 t238 t246 t254 t262 t264 t287 t184 t192 t211 t219 t238 t246 t254 t262 t309 t184 t192 t211 t219 t238 t246 t254 t262 t336 t184 t344 t192 t352 t211 t360 t219 t238 t246 t254 t368 t262 t390 t184 t192 t211 t219 t238 t246 t254 t262 t392))
% 11.04/11.25 (step t394 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t393))
% 11.04/11.25 (step t395 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 11.04/11.25 (step t396 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule all_simplify)
% 11.04/11.25 (step t397 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 11.04/11.25 (step t398 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t396 t397))
% 11.04/11.25 (step t399 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t395 t398 a14))
% 11.04/11.25 (step t400 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule or :premises (t399))
% 11.04/11.25 (step t401 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule reordering :premises (t400))
% 11.04/11.25 (step t402 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) :rule equiv_pos2)
% 11.04/11.25 (step t403 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) :rule all_simplify)
% 11.04/11.25 (step t404 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))))) :rule cong :premises (t396 t403))
% 11.04/11.25 (step t405 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) :rule resolution :premises (t402 t404 a15))
% 11.04/11.25 (step t406 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule or :premises (t405))
% 11.04/11.25 (step t407 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule reordering :premises (t406))
% 11.04/11.25 (step t408 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.04/11.25 (step t409 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c9) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 11.04/11.25 (step t410 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t396 t409))
% 11.04/11.25 (step t411 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t408 t410 a16))
% 11.04/11.25 (step t412 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule or :premises (t411))
% 11.04/11.25 (step t413 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule reordering :premises (t412))
% 11.04/11.25 (step t414 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule equiv_pos2)
% 11.04/11.25 (step t415 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule all_simplify)
% 11.04/11.25 (step t416 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule cong :premises (t396 t415))
% 11.04/11.25 (step t417 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t414 t416 a13))
% 11.04/11.25 (step t418 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule or :premises (t417))
% 11.04/11.25 (step t419 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule reordering :premises (t418))
% 11.04/11.25 (step t420 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule resolution :premises (t394 t401 t407 t413 t419))
% 11.04/11.25 (step t421 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule contraction :premises (t420))
% 11.04/11.25 (step t422 (cl (not (= (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))))) (not (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule equiv_pos2)
% 11.04/11.25 (step t423 (cl (= (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))))) :rule refl)
% 11.04/11.25 (step t424 (cl (= (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))))) :rule refl)
% 11.04/11.25 (step t425 (cl (= (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule refl)
% 11.04/11.25 (step t426 (cl (= (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))))) :rule refl)
% 11.04/11.25 (step t427 (cl (= (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule refl)
% 11.04/11.25 (step t428 (cl (= (= (= (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) true) (= (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule equiv_simplify)
% 11.04/11.25 (step t429 (cl (not (= (= (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) true)) (= (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule equiv1 :premises (t428))
% 11.04/11.25 (step t430 (cl (= (= (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))))) :rule all_simplify)
% 11.04/11.25 (step t431 (cl (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule refl)
% 11.04/11.25 (step t432 (cl (= (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule all_simplify)
% 11.04/11.25 (step t433 (cl (= (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule cong :premises (t431 t432))
% 11.04/11.25 (step t434 (cl (= (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) true)) :rule all_simplify)
% 11.04/11.25 (step t435 (cl (= (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) true)) :rule trans :premises (t433 t434))
% 11.04/11.25 (step t436 (cl (= (= (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) true)) :rule trans :premises (t430 t435))
% 11.04/11.25 (step t437 (cl (= (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t429 t436))
% 11.04/11.25 (step t438 (cl (= (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule refl)
% 11.04/11.25 (step t439 (cl (= (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule refl)
% 11.04/11.25 (step t440 (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)
% 11.04/11.25 (step t441 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))))) :rule refl)
% 11.04/11.25 (step t442 (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)
% 11.04/11.25 (step t443 (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)
% 11.04/11.25 (step t444 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule refl)
% 11.04/11.25 (step t445 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))))) :rule refl)
% 11.04/11.25 (step t446 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule refl)
% 11.04/11.25 (step t447 (cl (= (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))))) :rule cong :premises (t423 t424 t425 t426 t427 t437 t438 t439 t440 t441 t442 t443 t444 t445 t446))
% 11.04/11.25 (step t448 (cl (not (= (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))))) (not (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule equiv_pos2)
% 11.04/11.25 (step t449 (cl (= (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule refl)
% 11.04/11.25 (step t450 (cl (= (= (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false) (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule equiv_simplify)
% 11.04/11.25 (step t451 (cl (= (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false) (not (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule equiv2 :premises (t450))
% 11.04/11.25 (step t452 (cl (not (not (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule not_not)
% 11.04/11.25 (step t453 (cl (= (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t451 t452))
% 11.04/11.25 (step t454 (cl (=> (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t455)
% 11.04/11.25 (assume t455.a0 (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.04/11.25 (assume t455.a1 (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.04/11.25 (step t455.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 11.04/11.25 (step t455.t2 (cl (= (= false true) false)) :rule all_simplify)
% 11.04/11.25 (step t455.t3 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule equiv_simplify)
% 11.04/11.25 (step t455.t4 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule equiv2 :premises (t455.t3))
% 11.04/11.25 (step t455.t5 (cl (not (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule not_not)
% 11.04/11.25 (step t455.t6 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule resolution :premises (t455.t4 t455.t5))
% 11.04/11.25 (step t455.t7 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false)) :rule resolution :premises (t455.t6 t455.a0))
% 11.04/11.25 (step t455.t8 (cl (= false (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule symm :premises (t455.t7))
% 11.04/11.25 (step t455.t9 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) true) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule equiv_simplify)
% 11.04/11.25 (step t455.t10 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) true) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule equiv2 :premises (t455.t9))
% 11.04/11.25 (step t455.t11 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) true)) :rule resolution :premises (t455.t10 t455.a1))
% 11.04/11.25 (step t455.t12 (cl (= false true)) :rule trans :premises (t455.t8 t455.t11))
% 11.04/11.25 (step t455.t13 (cl false) :rule resolution :premises (t455.t1 t455.t2 t455.t12))
% 11.04/11.25 (step t455 (cl (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false) :rule subproof :discharge (t455.a0 t455.a1))
% 11.04/11.25 (step t456 (cl (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t457 (cl (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t458 (cl false (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t455 t456 t457))
% 11.04/11.25 (step t459 (cl (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) false) :rule reordering :premises (t458))
% 11.04/11.25 (step t460 (cl (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) false) :rule contraction :premises (t459))
% 11.04/11.25 (step t461 (cl (=> (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false) false) :rule resolution :premises (t454 t460))
% 11.04/11.25 (step t462 (cl (=> (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false) (not false)) :rule implies_neg2)
% 11.04/11.25 (step t463 (cl (=> (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false) (=> (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false)) :rule resolution :premises (t461 t462))
% 11.04/11.25 (step t464 (cl (=> (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false)) :rule contraction :premises (t463))
% 11.04/11.25 (step t465 (cl (= (=> (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false) (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule implies_simplify)
% 11.04/11.25 (step t466 (cl (not (=> (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false)) (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule equiv1 :premises (t465))
% 11.04/11.25 (step t467 (cl (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t464 t466))
% 11.04/11.25 (step t468 (cl (= (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) false)) :rule resolution :premises (t453 t467))
% 11.04/11.25 (step t469 (cl (= (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) false))) :rule cong :premises (t449 t468))
% 11.04/11.25 (step t470 (cl (= (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) false) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))))) :rule all_simplify)
% 11.04/11.25 (step t471 (cl (= (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))))) :rule trans :premises (t469 t470))
% 11.04/11.25 (step t472 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t473)
% 11.04/11.25 (assume t473.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t473.a1 (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))
% 11.04/11.25 (assume t473.a2 (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))
% 11.04/11.25 (assume t473.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t473.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t473.a5 (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))
% 11.04/11.25 (assume t473.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t473.a7 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t473.a8 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t473.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t473.a10 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.04/11.25 (assume t473.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.04/11.25 (assume t473.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t473.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t473.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (step t473.t1 (cl (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_neg)
% 11.04/11.25 (step t473.t2 (cl (=> (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t473.t3)
% 11.04/11.25 (assume t473.t3.a0 (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))
% 11.04/11.25 (assume t473.t3.a1 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t473.t3.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t473.t3.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t473.t3.a4 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t473.t3.a5 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t473.t3.a6 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t473.t3.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t473.t3.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t473.t3.a9 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t473.t3.a10 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t473.t3.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.04/11.25 (assume t473.t3.a12 (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))
% 11.04/11.25 (assume t473.t3.a13 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.04/11.25 (assume t473.t3.a14 (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))
% 11.04/11.25 (step t473.t3.t1 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule equiv_simplify)
% 11.04/11.25 (step t473.t3.t2 (cl (not (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule equiv1 :premises (t473.t3.t1))
% 11.04/11.25 (step t473.t3.t3 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t473.t3.a14))
% 11.04/11.25 (step t473.t3.t4 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule symm :premises (t473.t3.t3))
% 11.04/11.25 (step t473.t3.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t473.t3.a13))
% 11.04/11.25 (step t473.t3.t6 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule symm :premises (t473.t3.t5))
% 11.04/11.25 (step t473.t3.t7 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t473.t3.a4))
% 11.04/11.25 (step t473.t3.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t473.t3.t7 t473.t3.a9))
% 11.04/11.25 (step t473.t3.t9 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t473.t3.t7))
% 11.04/11.25 (step t473.t3.t10 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.04/11.25 (step t473.t3.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t473.t3.a10 t473.t3.t10))
% 11.04/11.25 (step t473.t3.t12 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t473.t3.a10))
% 11.04/11.25 (step t473.t3.t13 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t473.t3.t12 t473.t3.a9))
% 11.04/11.25 (step t473.t3.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t473.t3.a8))
% 11.04/11.25 (step t473.t3.t15 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t473.t3.t14))
% 11.04/11.25 (step t473.t3.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t473.t3.a9))
% 11.04/11.25 (step t473.t3.t17 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t473.t3.t15 t473.t3.t16))
% 11.04/11.25 (step t473.t3.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t473.t3.a7))
% 11.04/11.25 (step t473.t3.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule symm :premises (t473.t3.t18))
% 11.04/11.25 (step t473.t3.t20 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t473.t3.a5))
% 11.04/11.25 (step t473.t3.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t473.t3.a6))
% 11.04/11.25 (step t473.t3.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule cong :premises (t473.t3.t20 t473.t3.t21))
% 11.04/11.25 (step t473.t3.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule trans :premises (t473.t3.t11 t473.t3.t13 t473.t3.t17 t473.t3.t19 t473.t3.t22))
% 11.04/11.25 (step t473.t3.t24 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule cong :premises (t473.t3.t9 t473.t3.t23))
% 11.04/11.25 (step t473.t3.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t473.t3.a3))
% 11.04/11.25 (step t473.t3.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t473.t3.a2))
% 11.04/11.25 (step t473.t3.t27 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.04/11.25 (step t473.t3.t28 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t473.t3.t26 t473.t3.t27))
% 11.04/11.25 (step t473.t3.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t473.t3.a1))
% 11.04/11.25 (step t473.t3.t30 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) :rule symm :premises (t473.t3.a12))
% 11.04/11.25 (step t473.t3.t31 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t473.t3.t30))
% 11.04/11.25 (step t473.t3.t32 (cl (= tptp.identity (tptp.inverse tptp.sk_c3))) :rule trans :premises (t473.t3.a2 t473.t3.t8 t473.t3.t24 t473.t3.t25 t473.t3.t28 t473.t3.t29 t473.t3.t31))
% 11.04/11.25 (step t473.t3.t33 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.04/11.25 (step t473.t3.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule cong :premises (t473.t3.t32 t473.t3.t33))
% 11.04/11.25 (step t473.t3.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t473.t3.a11))
% 11.04/11.25 (step t473.t3.t36 (cl (= tptp.sk_c3 tptp.identity)) :rule trans :premises (t473.t3.t6 t473.t3.t34 t473.t3.t35))
% 11.04/11.25 (step t473.t3.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t473.t3.t28))
% 11.04/11.25 (step t473.t3.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t473.t3.t24))
% 11.04/11.25 (step t473.t3.t39 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t473.t3.t8))
% 11.04/11.25 (step t473.t3.t40 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t473.t3.a1 t473.t3.t37 t473.t3.a3 t473.t3.t38 t473.t3.t39 t473.t3.t26))
% 11.04/11.25 (step t473.t3.t41 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t473.t3.t36 t473.t3.t40))
% 11.04/11.25 (step t473.t3.t42 (cl (= tptp.sk_c8 tptp.sk_c9)) :rule trans :premises (t473.t3.t4 t473.t3.t41 t473.t3.t12 t473.t3.a2 t473.t3.t8 t473.t3.t24 t473.t3.t25 t473.t3.t28 t473.t3.t29))
% 11.04/11.25 (step t473.t3.t43 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.04/11.25 (step t473.t3.t44 (cl (= (tptp.inverse tptp.sk_c10) tptp.identity)) :rule trans :premises (t473.t3.t7 t473.t3.t40))
% 11.04/11.25 (step t473.t3.t45 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t473.t3.t23))
% 11.04/11.25 (step t473.t3.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t473.t3.t44 t473.t3.t45))
% 11.04/11.25 (step t473.t3.t47 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule trans :premises (t473.t3.a1 t473.t3.t37 t473.t3.a3 t473.t3.t46 t473.t3.t17 t473.t3.t19 t473.t3.t22))
% 11.04/11.25 (step t473.t3.t48 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule cong :premises (t473.t3.t43 t473.t3.t47))
% 11.04/11.25 (step t473.t3.t49 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule symm :premises (t473.t3.t22))
% 11.04/11.25 (step t473.t3.t50 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t473.t3.t17))
% 11.04/11.25 (step t473.t3.t51 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t473.t3.t13))
% 11.04/11.25 (step t473.t3.t52 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t473.t3.t11))
% 11.04/11.25 (step t473.t3.t53 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) tptp.sk_c10)) :rule trans :premises (t473.t3.t49 t473.t3.t18 t473.t3.t50 t473.t3.t51 t473.t3.t52 t473.t3.t16))
% 11.04/11.25 (step t473.t3.t54 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule cong :premises (t473.t3.t43 t473.t3.t53))
% 11.04/11.25 (step t473.t3.t55 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule trans :premises (t473.t3.t48 t473.t3.t54))
% 11.04/11.25 (step t473.t3.t56 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule cong :premises (t473.t3.t42 t473.t3.t55))
% 11.04/11.25 (step t473.t3.t57 (cl (= (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) false) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule equiv_simplify)
% 11.04/11.25 (step t473.t3.t58 (cl (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) false) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule equiv2 :premises (t473.t3.t57))
% 11.04/11.25 (step t473.t3.t59 (cl (not (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule not_not)
% 11.04/11.25 (step t473.t3.t60 (cl (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) false) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule resolution :premises (t473.t3.t58 t473.t3.t59))
% 11.04/11.25 (step t473.t3.t61 (cl (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) false)) :rule resolution :premises (t473.t3.t60 t473.t3.a0))
% 11.04/11.25 (step t473.t3.t62 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false)) :rule trans :premises (t473.t3.t56 t473.t3.t61))
% 11.04/11.25 (step t473.t3.t63 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t473.t3.t2 t473.t3.t62))
% 11.04/11.25 (step t473.t3 (cl (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule subproof :discharge (t473.t3.a0 t473.t3.a1 t473.t3.a2 t473.t3.a3 t473.t3.a4 t473.t3.a5 t473.t3.a6 t473.t3.a7 t473.t3.a8 t473.t3.a9 t473.t3.a10 t473.t3.a11 t473.t3.a12 t473.t3.a13 t473.t3.a14))
% 11.04/11.25 (step t473.t4 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t473.t5 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t473.t6 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t473.t7 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t473.t8 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t473.t9 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t473.t10 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t473.t11 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t473.t12 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t473.t13 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t473.t14 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t473.t15 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.04/11.25 (step t473.t16 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.04/11.25 (step t473.t17 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.04/11.25 (step t473.t18 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t473.t19 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))))) :rule resolution :premises (t473.t3 t473.t4 t473.t5 t473.t6 t473.t7 t473.t8 t473.t9 t473.t10 t473.t11 t473.t12 t473.t13 t473.t14 t473.t15 t473.t16 t473.t17 t473.t18))
% 11.04/11.25 (step t473.t20 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule reordering :premises (t473.t19))
% 11.04/11.25 (step t473.t21 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule contraction :premises (t473.t20))
% 11.04/11.25 (step t473.t22 (cl (=> (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t473.t2 t473.t21))
% 11.04/11.25 (step t473.t23 (cl (=> (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule implies_neg2)
% 11.04/11.25 (step t473.t24 (cl (=> (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (=> (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t473.t22 t473.t23))
% 11.04/11.25 (step t473.t25 (cl (=> (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule contraction :premises (t473.t24))
% 11.04/11.25 (step t473.t26 (cl (not (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies :premises (t473.t25))
% 11.04/11.25 (step t473.t27 (cl (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) :rule and_neg)
% 11.04/11.25 (step t473.t28 (cl (and (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) :rule resolution :premises (t473.t27 t473.a5 t473.a7 t473.a9 t473.a14 t473.a0 t473.a4 t473.a3 t473.a13 t473.a12 t473.a8 t473.a6 t473.a11 t473.a2 t473.a10 t473.a1))
% 11.04/11.25 (step t473.t29 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t473.t26 t473.t28))
% 11.04/11.25 (step t473.t30 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t473.t31)
% 11.04/11.25 (assume t473.t31.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))
% 11.04/11.25 (assume t473.t31.a1 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.04/11.25 (assume t473.t31.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t473.t31.a3 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t473.t31.a4 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t473.t31.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t473.t31.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t473.t31.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t473.t31.a8 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t473.t31.a9 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t473.t31.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t473.t31.a11 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t473.t31.a12 (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))
% 11.04/11.25 (assume t473.t31.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.04/11.25 (step t473.t31.t1 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t473.t31.a0))
% 11.04/11.25 (step t473.t31.t2 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule symm :premises (t473.t31.t1))
% 11.04/11.25 (step t473.t31.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t473.t31.a13))
% 11.04/11.25 (step t473.t31.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t473.t31.t3))
% 11.04/11.25 (step t473.t31.t5 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) :rule symm :premises (t473.t31.a12))
% 11.04/11.25 (step t473.t31.t6 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t473.t31.t5))
% 11.04/11.25 (step t473.t31.t7 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) :rule symm :premises (t473.t31.t6))
% 11.04/11.25 (step t473.t31.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t473.t31.a2))
% 11.04/11.25 (step t473.t31.t9 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.04/11.25 (step t473.t31.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t473.t31.t8 t473.t31.t9))
% 11.04/11.25 (step t473.t31.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t473.t31.t10))
% 11.04/11.25 (step t473.t31.t12 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t473.t31.a3))
% 11.04/11.25 (step t473.t31.t13 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t473.t31.t12))
% 11.04/11.25 (step t473.t31.t14 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.04/11.25 (step t473.t31.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t473.t31.a5 t473.t31.t14))
% 11.04/11.25 (step t473.t31.t16 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t473.t31.a5))
% 11.04/11.25 (step t473.t31.t17 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t473.t31.t16 t473.t31.a4))
% 11.04/11.25 (step t473.t31.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t473.t31.a6))
% 11.04/11.25 (step t473.t31.t19 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t473.t31.t18))
% 11.04/11.25 (step t473.t31.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t473.t31.a4))
% 11.04/11.25 (step t473.t31.t21 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t473.t31.t19 t473.t31.t20))
% 11.04/11.25 (step t473.t31.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t473.t31.a7))
% 11.04/11.25 (step t473.t31.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule symm :premises (t473.t31.t22))
% 11.04/11.25 (step t473.t31.t24 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t473.t31.a8))
% 11.04/11.25 (step t473.t31.t25 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t473.t31.a9))
% 11.04/11.25 (step t473.t31.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule cong :premises (t473.t31.t24 t473.t31.t25))
% 11.04/11.25 (step t473.t31.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule trans :premises (t473.t31.t15 t473.t31.t17 t473.t31.t21 t473.t31.t23 t473.t31.t26))
% 11.04/11.25 (step t473.t31.t28 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule cong :premises (t473.t31.t13 t473.t31.t27))
% 11.04/11.25 (step t473.t31.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t473.t31.t28))
% 11.04/11.25 (step t473.t31.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t473.t31.t12 t473.t31.a4))
% 11.04/11.25 (step t473.t31.t31 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t473.t31.t30))
% 11.04/11.25 (step t473.t31.t32 (cl (= (tptp.inverse tptp.sk_c3) tptp.identity)) :rule trans :premises (t473.t31.t7 t473.t31.a11 t473.t31.t11 t473.t31.a10 t473.t31.t29 t473.t31.t31 t473.t31.t8))
% 11.04/11.25 (step t473.t31.t33 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.04/11.25 (step t473.t31.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t473.t31.t32 t473.t31.t33))
% 11.04/11.25 (step t473.t31.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t473.t31.a1))
% 11.04/11.25 (step t473.t31.t36 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule symm :premises (t473.t31.t35))
% 11.04/11.25 (step t473.t31.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t473.t31.t36))
% 11.04/11.25 (step t473.t31.t38 (cl (= tptp.identity tptp.sk_c3)) :rule trans :premises (t473.t31.t4 t473.t31.t34 t473.t31.t37))
% 11.04/11.25 (step t473.t31.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t473.t31.a10))
% 11.04/11.25 (step t473.t31.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t473.t31.a11))
% 11.04/11.25 (step t473.t31.t41 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t473.t31.a2 t473.t31.t30 t473.t31.t28 t473.t31.t39 t473.t31.t10 t473.t31.t40))
% 11.04/11.25 (step t473.t31.t42 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule cong :premises (t473.t31.t38 t473.t31.t41))
% 11.04/11.25 (step t473.t31.t43 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t473.t31.t42))
% 11.04/11.25 (step t473.t31.t44 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t473.t31.t2))
% 11.04/11.25 (step t473.t31.t45 (cl (= tptp.identity tptp.sk_c8)) :rule trans :premises (t473.t31.a5 t473.t31.t42 t473.t31.t44))
% 11.04/11.25 (step t473.t31.t46 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule cong :premises (t473.t31.t45 t473.t31.t41))
% 11.04/11.25 (step t473.t31.t47 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule trans :premises (t473.t31.t2 t473.t31.t43 t473.t31.t46))
% 11.04/11.25 (step t473.t31 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule subproof :discharge (t473.t31.a0 t473.t31.a1 t473.t31.a2 t473.t31.a3 t473.t31.a4 t473.t31.a5 t473.t31.a6 t473.t31.a7 t473.t31.a8 t473.t31.a9 t473.t31.a10 t473.t31.a11 t473.t31.a12 t473.t31.a13))
% 11.04/11.25 (step t473.t32 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t473.t33 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.04/11.25 (step t473.t34 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t473.t35 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t473.t36 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t473.t37 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t473.t38 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (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)
% 11.04/11.25 (step t473.t39 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (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_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t473.t40 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t473.t41 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t473.t42 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (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_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t473.t43 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t473.t44 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.04/11.25 (step t473.t45 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= 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 and_pos)
% 11.04/11.25 (step t473.t46 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule resolution :premises (t473.t31 t473.t32 t473.t33 t473.t34 t473.t35 t473.t36 t473.t37 t473.t38 t473.t39 t473.t40 t473.t41 t473.t42 t473.t43 t473.t44 t473.t45))
% 11.04/11.25 (step t473.t47 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule reordering :premises (t473.t46))
% 11.04/11.25 (step t473.t48 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule contraction :premises (t473.t47))
% 11.04/11.25 (step t473.t49 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule resolution :premises (t473.t30 t473.t48))
% 11.04/11.25 (step t473.t50 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies_neg2)
% 11.04/11.25 (step t473.t51 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t473.t49 t473.t50))
% 11.04/11.25 (step t473.t52 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule contraction :premises (t473.t51))
% 11.04/11.25 (step t473.t53 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule implies :premises (t473.t52))
% 11.04/11.25 (step t473.t54 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_neg)
% 11.04/11.25 (step t473.t55 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t473.t54 t473.a1 t473.a10 t473.a9 t473.a0 t473.a8 t473.a6 t473.a12 t473.a13 t473.a4 t473.a3 t473.a14 t473.a7 t473.a2 t473.a11))
% 11.04/11.25 (step t473.t56 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule resolution :premises (t473.t53 t473.t55))
% 11.04/11.25 (step t473.t57 (cl (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t473.t1 t473.t29 t473.t56))
% 11.04/11.25 (step t473 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule subproof :discharge (t473.a0 t473.a1 t473.a2 t473.a3 t473.a4 t473.a5 t473.a6 t473.a7 t473.a8 t473.a9 t473.a10 t473.a11 t473.a12 t473.a13 t473.a14))
% 11.04/11.25 (step t474 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t475 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t476 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.04/11.25 (step t477 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t478 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t479 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t480 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t481 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t482 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t483 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t484 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.04/11.25 (step t485 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.04/11.25 (step t486 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t487 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t488 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t489 (cl (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t473 t474 t475 t476 t477 t478 t479 t480 t481 t482 t483 t484 t485 t486 t487 t488))
% 11.04/11.25 (step t490 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule reordering :premises (t489))
% 11.04/11.25 (step t491 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule contraction :premises (t490))
% 11.04/11.25 (step t492 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t472 t491))
% 11.04/11.25 (step t493 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule implies_neg2)
% 11.04/11.25 (step t494 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t492 t493))
% 11.04/11.25 (step t495 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (and (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule contraction :premises (t494))
% 11.04/11.25 (step t496 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t448 t471 t495))
% 11.04/11.25 (step t497 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule not_and :premises (t496))
% 11.04/11.25 (step t498 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))))) :rule or_neg)
% 11.04/11.25 (step t499 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))))) :rule or_neg)
% 11.04/11.25 (step t500 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule or_neg)
% 11.04/11.25 (step t501 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))))) :rule or_neg)
% 11.04/11.25 (step t502 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule or_neg)
% 11.04/11.25 (step t503 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))))) :rule or_neg)
% 11.04/11.25 (step t504 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule or_neg)
% 11.04/11.25 (step t505 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule or_neg)
% 11.04/11.25 (step t506 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule or_neg)
% 11.04/11.25 (step t507 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))))) :rule or_neg)
% 11.04/11.25 (step t508 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))))) :rule or_neg)
% 11.04/11.25 (step t509 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule or_neg)
% 11.04/11.25 (step t510 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule or_neg)
% 11.04/11.25 (step t511 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))))) :rule or_neg)
% 11.04/11.25 (step t512 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule or_neg)
% 11.04/11.25 (step t513 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t497 t498 t499 t500 t501 t502 t503 t504 t505 t506 t507 t508 t509 t510 t511 t512))
% 11.04/11.25 (step t514 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule contraction :premises (t513))
% 11.04/11.25 (step t515 (cl (or (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t422 t447 t514))
% 11.04/11.25 (step t516 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule or :premises (t515))
% 11.04/11.25 (step t517 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule reordering :premises (t516))
% 11.04/11.25 (step t518 (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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t519)
% 11.04/11.25 (assume t519.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.04/11.25 (step t519.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c1)) (:= Y tptp.sk_c1) (:= Z tptp.sk_c10)))
% 11.04/11.25 (step t519.t2 (cl (not (forall ((X $$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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule or :premises (t519.t1))
% 11.04/11.25 (step t519.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule resolution :premises (t519.t2 t519.a0))
% 11.04/11.25 (step t519 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule subproof :discharge (t519.a0))
% 11.04/11.25 (step t520 (cl (=> (forall ((X $$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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule resolution :premises (t518 t519))
% 11.04/11.25 (step t521 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))) :rule implies_neg2)
% 11.04/11.25 (step t522 (cl (=> (forall ((X $$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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))) :rule resolution :premises (t520 t521))
% 11.04/11.25 (step t523 (cl (=> (forall ((X $$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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))) :rule contraction :premises (t522))
% 11.04/11.25 (step t524 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule implies :premises (t523))
% 11.04/11.25 (step t525 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule resolution :premises (t524 a2))
% 11.04/11.25 (step t526 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t527)
% 11.04/11.25 (assume t527.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.04/11.25 (step t527.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.04/11.25 (step t527.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t527.t1))
% 11.04/11.25 (step t527.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t527.t2 t527.a0))
% 11.04/11.25 (step t527 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t527.a0))
% 11.04/11.25 (step t528 (cl (=> (forall ((X $$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 (t526 t527))
% 11.04/11.25 (step t529 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 11.04/11.25 (step t530 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule resolution :premises (t528 t529))
% 11.04/11.25 (step t531 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t530))
% 11.04/11.25 (step t532 (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 (t531))
% 11.04/11.25 (step t533 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t532 t202))
% 11.04/11.25 (step t534 (cl (not (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.04/11.25 (step t535 (cl (= (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule all_simplify)
% 11.04/11.25 (step t536 (cl (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t535 t409))
% 11.04/11.25 (step t537 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t534 t536 a36))
% 11.04/11.25 (step t538 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule or :premises (t537))
% 11.04/11.25 (step t539 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule reordering :premises (t538))
% 11.04/11.25 (step t540 (cl (not (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))))) (not (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) :rule equiv_pos2)
% 11.04/11.25 (step t541 (cl (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))))) :rule cong :premises (t535 t403))
% 11.04/11.25 (step t542 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) :rule resolution :premises (t540 t541 a35))
% 11.04/11.25 (step t543 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule or :premises (t542))
% 11.04/11.25 (step t544 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule reordering :premises (t543))
% 11.04/11.25 (step t545 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule resolution :premises (t517 t352 t525 t533 t203 t230 t246 t254 t368 t262 t539 t544))
% 11.04/11.25 (step t546 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t545))
% 11.04/11.25 (step t547 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule and_neg)
% 11.04/11.25 (step t548 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t549)
% 11.04/11.25 (assume t549.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t549.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t549.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t549.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.04/11.25 (assume t549.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t549.a5 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t549.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t549.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t549.a8 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.04/11.25 (assume t549.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.04/11.25 (assume t549.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.04/11.25 (assume t549.a11 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.04/11.25 (assume t549.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t549.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))))
% 11.04/11.25 (assume t549.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t549.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t549.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t549.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))
% 11.04/11.25 (assume t549.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.04/11.25 (step t549.t1 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t549.t2)
% 11.04/11.25 (assume t549.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.04/11.25 (assume t549.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t549.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))))
% 11.04/11.25 (assume t549.t2.a3 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t549.t2.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t549.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t549.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.04/11.25 (assume t549.t2.a7 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t549.t2.a8 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t549.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t549.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t549.t2.a11 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t549.t2.a12 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t549.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t549.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.04/11.25 (assume t549.t2.a15 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.04/11.25 (assume t549.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.04/11.25 (assume t549.t2.a17 (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.04/11.25 (assume t549.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))
% 11.04/11.25 (step t549.t2.t1 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t549.t2.a3))
% 11.04/11.25 (step t549.t2.t2 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t549.t2.t1 t549.t2.a11))
% 11.04/11.25 (step t549.t2.t3 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t549.t2.t1))
% 11.04/11.25 (step t549.t2.t4 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.04/11.25 (step t549.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t549.t2.a12 t549.t2.t4))
% 11.04/11.25 (step t549.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t549.t2.a12))
% 11.04/11.25 (step t549.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t549.t2.t6 t549.t2.a11))
% 11.04/11.25 (step t549.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t549.t2.a5))
% 11.04/11.25 (step t549.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t549.t2.t8))
% 11.04/11.25 (step t549.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t549.t2.a11))
% 11.04/11.25 (step t549.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t549.t2.t9 t549.t2.t10))
% 11.04/11.25 (step t549.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t549.t2.a10))
% 11.04/11.25 (step t549.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule symm :premises (t549.t2.t12))
% 11.04/11.25 (step t549.t2.t14 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t549.t2.a4))
% 11.04/11.25 (step t549.t2.t15 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t549.t2.a8))
% 11.04/11.25 (step t549.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule cong :premises (t549.t2.t14 t549.t2.t15))
% 11.04/11.25 (step t549.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule trans :premises (t549.t2.t5 t549.t2.t7 t549.t2.t11 t549.t2.t13 t549.t2.t16))
% 11.04/11.25 (step t549.t2.t18 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule cong :premises (t549.t2.t3 t549.t2.t17))
% 11.04/11.25 (step t549.t2.t19 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t549.t2.a7))
% 11.04/11.25 (step t549.t2.t20 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t549.t2.t19))
% 11.04/11.25 (step t549.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t549.t2.a1))
% 11.04/11.25 (step t549.t2.t22 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.04/11.25 (step t549.t2.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t549.t2.t21 t549.t2.t22))
% 11.04/11.25 (step t549.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t549.t2.t23))
% 11.04/11.25 (step t549.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t549.t2.t18))
% 11.04/11.25 (step t549.t2.t26 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t549.t2.t2))
% 11.04/11.25 (step t549.t2.t27 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t549.t2.t20 t549.t2.t24 t549.t2.a13 t549.t2.t25 t549.t2.t26 t549.t2.t21))
% 11.04/11.25 (step t549.t2.t28 (cl (= (tptp.inverse tptp.sk_c10) tptp.identity)) :rule trans :premises (t549.t2.t1 t549.t2.t27))
% 11.04/11.25 (step t549.t2.t29 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t549.t2.t17))
% 11.04/11.25 (step t549.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t549.t2.t28 t549.t2.t29))
% 11.04/11.25 (step t549.t2.t31 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10))) :rule cong :premises (t549.t2.a14 t549.t2.t10))
% 11.04/11.25 (step t549.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10))) :rule symm :premises (t549.t2.a18))
% 11.04/11.25 (step t549.t2.t33 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule symm :premises (t549.t2.t32))
% 11.04/11.25 (step t549.t2.t34 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.04/11.25 (step t549.t2.t35 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t549.t2.a17))
% 11.04/11.25 (step t549.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9))) :rule cong :premises (t549.t2.t34 t549.t2.t35))
% 11.04/11.25 (step t549.t2.t37 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9))) :rule trans :premises (t549.t2.a1 t549.t2.t2 t549.t2.t18 t549.t2.t30 t549.t2.t31 t549.t2.t33 t549.t2.t36))
% 11.04/11.25 (step t549.t2.t38 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.04/11.25 (step t549.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8))) :rule cong :premises (t549.t2.t37 t549.t2.t38))
% 11.04/11.25 (step t549.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8))) :rule symm :premises (t549.t2.a16))
% 11.04/11.25 (step t549.t2.t41 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule symm :premises (t549.t2.t40))
% 11.04/11.25 (step t549.t2.t42 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t549.t2.t27 t549.t2.t38))
% 11.04/11.25 (step t549.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t549.t2.a15))
% 11.04/11.25 (step t549.t2.t44 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) tptp.sk_c8)) :rule trans :premises (t549.t2.t42 t549.t2.t43))
% 11.04/11.25 (step t549.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule cong :premises (t549.t2.t34 t549.t2.t44))
% 11.04/11.25 (step t549.t2.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t549.t2.a14))
% 11.04/11.25 (step t549.t2.t47 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t549.t2.a13))
% 11.04/11.25 (step t549.t2.t48 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.04/11.25 (step t549.t2.t49 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule trans :premises (t549.t2.a11 t549.t2.t5 t549.t2.t7 t549.t2.t11 t549.t2.t13 t549.t2.t16))
% 11.04/11.25 (step t549.t2.t50 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule cong :premises (t549.t2.t48 t549.t2.t49))
% 11.04/11.25 (step t549.t2.t51 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t549.t2.a9))
% 11.04/11.25 (step t549.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c9))) :rule cong :premises (t549.t2.t15 t549.t2.t22))
% 11.04/11.25 (step t549.t2.t53 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t549.t2.t22 t549.t2.t20))
% 11.04/11.25 (step t549.t2.t54 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9))) :rule symm :premises (t549.t2.a6))
% 11.04/11.25 (step t549.t2.t55 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) :rule cong :premises (t549.t2.t14 t549.t2.t48))
% 11.04/11.25 (step t549.t2.t56 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c1))) :rule trans :premises (t549.t2.t9 t549.t2.t55))
% 11.04/11.25 (step t549.t2.t57 (cl (= (tptp.multiply tptp.sk_c9 tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule cong :premises (t549.t2.t3 t549.t2.t56))
% 11.04/11.25 (step t549.t2.t58 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1))) :rule symm :premises (t549.t2.a2))
% 11.04/11.25 (step t549.t2.t59 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t549.t2.t21 t549.t2.t48))
% 11.04/11.25 (step t549.t2.t60 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t549.t2.a0))
% 11.04/11.25 (step t549.t2.t61 (cl (= (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c1)) :rule trans :premises (t549.t2.t57 t549.t2.t58 t549.t2.t59 t549.t2.t60))
% 11.04/11.25 (step t549.t2.t62 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule cong :premises (t549.t2.t61 t549.t2.t22))
% 11.04/11.25 (step t549.t2.t63 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule trans :premises (t549.t2.a15 t549.t2.t39 t549.t2.t41 t549.t2.t45 t549.t2.t46 t549.t2.a1 t549.t2.t2 t549.t2.t18 t549.t2.t47 t549.t2.t23 t549.t2.t19 t549.t2.a8 t549.t2.t50 t549.t2.t51 t549.t2.t52 t549.t2.t53 t549.t2.t54 t549.t2.t62))
% 11.04/11.25 (step t549.t2 (cl (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule subproof :discharge (t549.t2.a0 t549.t2.a1 t549.t2.a2 t549.t2.a3 t549.t2.a4 t549.t2.a5 t549.t2.a6 t549.t2.a7 t549.t2.a8 t549.t2.a9 t549.t2.a10 t549.t2.a11 t549.t2.a12 t549.t2.a13 t549.t2.a14 t549.t2.a15 t549.t2.a16 t549.t2.a17 t549.t2.a18))
% 11.04/11.25 (step t549.t3 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t549.t4 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t549.t5 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule and_pos)
% 11.04/11.25 (step t549.t6 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t549.t7 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t549.t8 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t549.t9 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t549.t10 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t549.t11 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t549.t12 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t549.t13 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t549.t14 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t549.t15 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t549.t16 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t549.t17 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.04/11.25 (step t549.t18 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.04/11.25 (step t549.t19 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.04/11.25 (step t549.t20 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t549.t21 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t549.t22 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9)) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))))) :rule resolution :premises (t549.t2 t549.t3 t549.t4 t549.t5 t549.t6 t549.t7 t549.t8 t549.t9 t549.t10 t549.t11 t549.t12 t549.t13 t549.t14 t549.t15 t549.t16 t549.t17 t549.t18 t549.t19 t549.t20 t549.t21))
% 11.04/11.25 (step t549.t23 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule reordering :premises (t549.t22))
% 11.04/11.25 (step t549.t24 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule contraction :premises (t549.t23))
% 11.04/11.25 (step t549.t25 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t549.t1 t549.t24))
% 11.04/11.25 (step t549.t26 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule implies_neg2)
% 11.04/11.25 (step t549.t27 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule resolution :premises (t549.t25 t549.t26))
% 11.04/11.25 (step t549.t28 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule contraction :premises (t549.t27))
% 11.04/11.25 (step t549.t29 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule implies :premises (t549.t28))
% 11.04/11.25 (step t549.t30 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule and_neg)
% 11.04/11.25 (step t549.t31 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule resolution :premises (t549.t30 t549.a11 t549.a7 t549.a13 t549.a0 t549.a2 t549.a12 t549.a9 t549.a5 t549.a1 t549.a16 t549.a14 t549.a6 t549.a4 t549.a15 t549.a10 t549.a8 t549.a18 t549.a3 t549.a17))
% 11.04/11.25 (step t549.t32 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t549.t29 t549.t31))
% 11.04/11.25 (step t549 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule subproof :discharge (t549.a0 t549.a1 t549.a2 t549.a3 t549.a4 t549.a5 t549.a6 t549.a7 t549.a8 t549.a9 t549.a10 t549.a11 t549.a12 t549.a13 t549.a14 t549.a15 t549.a16 t549.a17 t549.a18))
% 11.04/11.25 (step t550 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t551 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t552 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t553 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t554 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t555 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t556 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t557 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t558 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.04/11.25 (step t559 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t560 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.04/11.25 (step t561 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t562 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t563 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule and_pos)
% 11.04/11.25 (step t564 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t565 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t566 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t567 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t568 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.04/11.25 (step t569 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9)) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))))) :rule resolution :premises (t549 t550 t551 t552 t553 t554 t555 t556 t557 t558 t559 t560 t561 t562 t563 t564 t565 t566 t567 t568))
% 11.04/11.25 (step t570 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule reordering :premises (t569))
% 11.04/11.25 (step t571 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule contraction :premises (t570))
% 11.04/11.25 (step t572 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t548 t571))
% 11.04/11.25 (step t573 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule implies_neg2)
% 11.04/11.25 (step t574 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule resolution :premises (t572 t573))
% 11.04/11.25 (step t575 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule contraction :premises (t574))
% 11.04/11.25 (step t576 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule implies :premises (t575))
% 11.04/11.25 (step t577 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t547 t576))
% 11.04/11.25 (step t578 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule reordering :premises (t577))
% 11.04/11.25 (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.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t580)
% 11.04/11.25 (assume t580.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.04/11.25 (step t580.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c8)) (:= Y tptp.sk_c9) (:= Z tptp.sk_c8)))
% 11.04/11.25 (step t580.t2 (cl (not (forall ((X $$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_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule or :premises (t580.t1))
% 11.04/11.25 (step t580.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule resolution :premises (t580.t2 t580.a0))
% 11.04/11.25 (step t580 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule subproof :discharge (t580.a0))
% 11.04/11.25 (step t581 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule resolution :premises (t579 t580))
% 11.04/11.25 (step t582 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule implies_neg2)
% 11.04/11.25 (step t583 (cl (=> (forall ((X $$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_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule resolution :premises (t581 t582))
% 11.04/11.25 (step t584 (cl (=> (forall ((X $$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_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule contraction :premises (t583))
% 11.04/11.25 (step t585 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule implies :premises (t584))
% 11.04/11.25 (step t586 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule resolution :premises (t585 a2))
% 11.04/11.25 (step t587 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t588)
% 11.04/11.25 (assume t588.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.04/11.25 (step t588.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c8)) (:= Y tptp.sk_c8) (:= Z tptp.sk_c10)))
% 11.04/11.25 (step t588.t2 (cl (not (forall ((X $$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_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule or :premises (t588.t1))
% 11.04/11.25 (step t588.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t588.t2 t588.a0))
% 11.04/11.25 (step t588 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule subproof :discharge (t588.a0))
% 11.04/11.25 (step t589 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t587 t588))
% 11.04/11.25 (step t590 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule implies_neg2)
% 11.04/11.25 (step t591 (cl (=> (forall ((X $$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_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule resolution :premises (t589 t590))
% 11.04/11.25 (step t592 (cl (=> (forall ((X $$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_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule contraction :premises (t591))
% 11.04/11.25 (step t593 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule implies :premises (t592))
% 11.04/11.25 (step t594 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t593 a2))
% 11.04/11.25 (step t595 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t596)
% 11.04/11.25 (assume t596.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.04/11.25 (step t596.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c10) (:= Z tptp.sk_c9)))
% 11.04/11.25 (step t596.t2 (cl (not (forall ((X $$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_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule or :premises (t596.t1))
% 11.04/11.25 (step t596.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule resolution :premises (t596.t2 t596.a0))
% 11.04/11.25 (step t596 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule subproof :discharge (t596.a0))
% 11.04/11.25 (step t597 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule resolution :premises (t595 t596))
% 11.04/11.25 (step t598 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg2)
% 11.04/11.25 (step t599 (cl (=> (forall ((X $$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_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule resolution :premises (t597 t598))
% 11.04/11.25 (step t600 (cl (=> (forall ((X $$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_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule contraction :premises (t599))
% 11.04/11.25 (step t601 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule implies :premises (t600))
% 11.04/11.25 (step t602 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule resolution :premises (t601 a2))
% 11.04/11.25 (step t603 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t604)
% 11.04/11.25 (assume t604.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.04/11.25 (step t604.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c10)) (:= Y tptp.sk_c10) (:= Z tptp.sk_c1)))
% 11.04/11.25 (step t604.t2 (cl (not (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule or :premises (t604.t1))
% 11.04/11.25 (step t604.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule resolution :premises (t604.t2 t604.a0))
% 11.04/11.25 (step t604 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule subproof :discharge (t604.a0))
% 11.04/11.25 (step t605 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule resolution :premises (t603 t604))
% 11.04/11.25 (step t606 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))))) :rule implies_neg2)
% 11.04/11.25 (step t607 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))))) :rule resolution :premises (t605 t606))
% 11.04/11.25 (step t608 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))))) :rule contraction :premises (t607))
% 11.04/11.25 (step t609 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule implies :premises (t608))
% 11.04/11.25 (step t610 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule resolution :premises (t609 a2))
% 11.04/11.25 (step t611 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t612)
% 11.04/11.25 (assume t612.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.04/11.25 (step t612.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.04/11.25 (step t612.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule or :premises (t612.t1))
% 11.04/11.25 (step t612.t3 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t612.t2 t612.a0))
% 11.04/11.25 (step t612 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule subproof :discharge (t612.a0))
% 11.04/11.25 (step t613 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t611 t612))
% 11.04/11.25 (step t614 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg2)
% 11.04/11.25 (step t615 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t613 t614))
% 11.04/11.25 (step t616 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule contraction :premises (t615))
% 11.04/11.25 (step t617 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule implies :premises (t616))
% 11.04/11.25 (step t618 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t617 t229))
% 11.04/11.25 (step t619 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t620)
% 11.04/11.25 (assume t620.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.04/11.25 (step t620.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule forall_inst :args ((:= X tptp.sk_c8)))
% 11.04/11.25 (step t620.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule or :premises (t620.t1))
% 11.04/11.25 (step t620.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t620.t2 t620.a0))
% 11.04/11.25 (step t620 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule subproof :discharge (t620.a0))
% 11.04/11.25 (step t621 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t619 t620))
% 11.04/11.25 (step t622 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule implies_neg2)
% 11.04/11.25 (step t623 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule resolution :premises (t621 t622))
% 11.04/11.25 (step t624 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule contraction :premises (t623))
% 11.04/11.25 (step t625 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule implies :premises (t624))
% 11.04/11.25 (step t626 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t625 t202))
% 11.04/11.25 (step t627 (cl (=> (forall ((X $$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_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t628)
% 11.04/11.25 (assume t628.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.04/11.25 (step t628.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule forall_inst :args ((:= X tptp.sk_c9) (:= Y tptp.identity) (:= Z tptp.sk_c9)))
% 11.04/11.25 (step t628.t2 (cl (not (forall ((X $$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_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule or :premises (t628.t1))
% 11.04/11.25 (step t628.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t628.t2 t628.a0))
% 11.04/11.25 (step t628 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule subproof :discharge (t628.a0))
% 11.04/11.25 (step t629 (cl (=> (forall ((X $$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_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t627 t628))
% 11.04/11.25 (step t630 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule implies_neg2)
% 11.04/11.25 (step t631 (cl (=> (forall ((X $$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_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule resolution :premises (t629 t630))
% 11.04/11.25 (step t632 (cl (=> (forall ((X $$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_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule contraction :premises (t631))
% 11.04/11.25 (step t633 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule implies :premises (t632))
% 11.04/11.25 (step t634 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t633 a2))
% 11.04/11.25 (step t635 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t636)
% 11.04/11.25 (assume t636.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.04/11.25 (step t636.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule forall_inst :args ((:= X tptp.sk_c8)))
% 11.04/11.25 (step t636.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule or :premises (t636.t1))
% 11.04/11.25 (step t636.t3 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t636.t2 t636.a0))
% 11.04/11.25 (step t636 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule subproof :discharge (t636.a0))
% 11.04/11.25 (step t637 (cl (=> (forall ((X $$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 (t635 t636))
% 11.04/11.25 (step t638 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule implies_neg2)
% 11.04/11.25 (step t639 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule resolution :premises (t637 t638))
% 11.04/11.25 (step t640 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule contraction :premises (t639))
% 11.04/11.25 (step t641 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule implies :premises (t640))
% 11.04/11.25 (step t642 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t641 t229))
% 11.04/11.25 (step t643 (cl (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 11.04/11.25 (step t644 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t643))
% 11.04/11.25 (step t645 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t646)
% 11.04/11.25 (assume t646.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))))
% 11.04/11.25 (step t646.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X3 tptp.sk_c1)))
% 11.04/11.25 (step t646.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t646.t1))
% 11.04/11.25 (step t646.t3 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t646.t2 t646.a0))
% 11.04/11.25 (step t646 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t646.a0))
% 11.04/11.25 (step t647 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t645 t646))
% 11.04/11.25 (step t648 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.04/11.25 (step t649 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t647 t648))
% 11.04/11.25 (step t650 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t649))
% 11.04/11.25 (step t651 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t650))
% 11.04/11.25 (step t652 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) :rule or :premises (t120))
% 11.04/11.25 (step t653 (cl (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t654)
% 11.04/11.25 (assume t654.a0 (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))))
% 11.04/11.25 (step t654.t1 (cl (or (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))))) :rule forall_inst :args ((:= X4 tptp.sk_c1) (:= X6 tptp.sk_c10)))
% 11.04/11.25 (step t654.t2 (cl (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule or :premises (t654.t1))
% 11.04/11.25 (step t654.t3 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t654.t2 t654.a0))
% 11.04/11.25 (step t654 (cl (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule subproof :discharge (t654.a0))
% 11.04/11.25 (step t655 (cl (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t653 t654))
% 11.04/11.25 (step t656 (cl (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))))) :rule implies_neg2)
% 11.04/11.25 (step t657 (cl (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))))) :rule resolution :premises (t655 t656))
% 11.04/11.25 (step t658 (cl (=> (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))))) :rule contraction :premises (t657))
% 11.04/11.25 (step t659 (cl (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule implies :premises (t658))
% 11.04/11.25 (step t660 (cl (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule or_pos)
% 11.04/11.25 (step t661 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))))) :rule reordering :premises (t660))
% 11.04/11.25 (step t662 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule and_neg)
% 11.04/11.25 (step t663 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t664)
% 11.04/11.25 (assume t664.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t664.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t664.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t664.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t664.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t664.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t664.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t664.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t664.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t664.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (step t664.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t664.t2)
% 11.04/11.25 (assume t664.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t664.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t664.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t664.t2.a3 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t664.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t664.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t664.t2.a6 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t664.t2.a7 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t664.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t664.t2.a9 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (step t664.t2.t1 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t664.t2.a3))
% 11.04/11.25 (step t664.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t664.t2.a9))
% 11.04/11.25 (step t664.t2.t3 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t664.t2.t2))
% 11.04/11.25 (step t664.t2.t4 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.04/11.25 (step t664.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule cong :premises (t664.t2.a2 t664.t2.t4))
% 11.04/11.25 (step t664.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t664.t2.a8))
% 11.04/11.25 (step t664.t2.t7 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t664.t2.t6))
% 11.04/11.25 (step t664.t2.t8 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t664.t2.a6))
% 11.04/11.25 (step t664.t2.t9 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t664.t2.t8))
% 11.04/11.25 (step t664.t2.t10 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t664.t2.a7))
% 11.04/11.25 (step t664.t2.t11 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule symm :premises (t664.t2.t10))
% 11.04/11.25 (step t664.t2.t12 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule cong :premises (t664.t2.t9 t664.t2.t11))
% 11.04/11.25 (step t664.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t664.t2.a5))
% 11.04/11.25 (step t664.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t664.t2.a4))
% 11.04/11.25 (step t664.t2.t15 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t664.t2.t14 t664.t2.a0))
% 11.04/11.25 (step t664.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t664.t2.a0))
% 11.04/11.25 (step t664.t2.t17 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t664.t2.a1 t664.t2.t16))
% 11.04/11.25 (step t664.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t664.t2.a1))
% 11.04/11.25 (step t664.t2.t19 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.04/11.25 (step t664.t2.t20 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t664.t2.t18 t664.t2.t19))
% 11.04/11.25 (step t664.t2.t21 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c10))) :rule trans :premises (t664.t2.t12 t664.t2.t13 t664.t2.t15 t664.t2.t17 t664.t2.t20))
% 11.04/11.25 (step t664.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t664.t2.t1 t664.t2.t21))
% 11.04/11.25 (step t664.t2.t23 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t664.t2.t1))
% 11.04/11.25 (step t664.t2.t24 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t664.t2.t23 t664.t2.t16))
% 11.04/11.25 (step t664.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t664.t2.a2))
% 11.04/11.25 (step t664.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t664.t2.t24))
% 11.04/11.25 (step t664.t2.t27 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t664.t2.t22))
% 11.04/11.25 (step t664.t2.t28 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t664.t2.t3 t664.t2.t5 t664.t2.t7 t664.t2.t22 t664.t2.t24 t664.t2.t25))
% 11.04/11.25 (step t664.t2.t29 (cl (= (tptp.inverse tptp.sk_c10) tptp.identity)) :rule trans :premises (t664.t2.t1 t664.t2.t28))
% 11.04/11.25 (step t664.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t664.t2.t29 t664.t2.t21))
% 11.04/11.25 (step t664.t2.t31 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t664.t2.a2 t664.t2.t26 t664.t2.t27 t664.t2.t30 t664.t2.t17 t664.t2.t20 t664.t2.t16))
% 11.04/11.25 (step t664.t2.t32 (cl (= tptp.identity (tptp.inverse tptp.sk_c1))) :rule trans :premises (t664.t2.a2 t664.t2.t26 t664.t2.t27 t664.t2.t30 t664.t2.t17 t664.t2.t20 t664.t2.t16 t664.t2.t9))
% 11.04/11.25 (step t664.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t664.t2.t31 t664.t2.t32))
% 11.04/11.25 (step t664.t2.t34 (cl (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t664.t2.t1 t664.t2.t3 t664.t2.t5 t664.t2.t7 t664.t2.t22 t664.t2.t24 t664.t2.t25 t664.t2.a1 t664.t2.t33))
% 11.04/11.25 (step t664.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t664.t2.a0 t664.t2.a1 t664.t2.a2 t664.t2.a3 t664.t2.a4 t664.t2.a5 t664.t2.a6 t664.t2.a7 t664.t2.a8 t664.t2.a9))
% 11.04/11.25 (step t664.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t664.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t664.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t664.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t664.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t664.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t664.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t664.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t664.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t664.t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t664.t13 (cl (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule resolution :premises (t664.t2 t664.t3 t664.t4 t664.t5 t664.t6 t664.t7 t664.t8 t664.t9 t664.t10 t664.t11 t664.t12))
% 11.04/11.25 (step t664.t14 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t664.t13))
% 11.04/11.25 (step t664.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t664.t14))
% 11.04/11.25 (step t664.t16 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t664.t1 t664.t15))
% 11.04/11.25 (step t664.t17 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.04/11.25 (step t664.t18 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t664.t16 t664.t17))
% 11.04/11.25 (step t664.t19 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t664.t18))
% 11.04/11.25 (step t664.t20 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t664.t19))
% 11.04/11.25 (step t664.t21 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_neg)
% 11.04/11.25 (step t664.t22 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t664.t21 t664.a5 t664.a3 t664.a6 t664.a0 t664.a7 t664.a8 t664.a2 t664.a1 t664.a9 t664.a4))
% 11.04/11.25 (step t664.t23 (cl (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t664.t20 t664.t22))
% 11.04/11.25 (step t664 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t664.a0 t664.a1 t664.a2 t664.a3 t664.a4 t664.a5 t664.a6 t664.a7 t664.a8 t664.a9))
% 11.04/11.25 (step t665 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t666 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t667 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t668 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t669 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t670 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t671 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t672 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t673 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t674 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t675 (cl (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t664 t665 t666 t667 t668 t669 t670 t671 t672 t673 t674))
% 11.04/11.25 (step t676 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t675))
% 11.04/11.25 (step t677 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t676))
% 11.04/11.25 (step t678 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t663 t677))
% 11.04/11.25 (step t679 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.04/11.25 (step t680 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t678 t679))
% 11.04/11.25 (step t681 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t680))
% 11.04/11.25 (step t682 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t681))
% 11.04/11.25 (step t683 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t662 t682))
% 11.04/11.25 (step t684 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule and_neg)
% 11.04/11.25 (step t685 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t686)
% 11.04/11.25 (assume t686.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t686.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t686.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t686.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t686.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t686.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t686.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t686.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.04/11.25 (assume t686.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t686.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))))
% 11.04/11.25 (assume t686.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t686.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t686.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (step t686.t1 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t686.t2)
% 11.04/11.25 (assume t686.t2.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t686.t2.a1 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t686.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t686.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t686.t2.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t686.t2.a5 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t686.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t686.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t686.t2.a8 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t686.t2.a9 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t686.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t686.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))))
% 11.04/11.25 (assume t686.t2.a12 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.04/11.25 (step t686.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t686.t2.a12))
% 11.04/11.25 (step t686.t2.t2 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule symm :premises (t686.t2.t1))
% 11.04/11.25 (step t686.t2.t3 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.04/11.25 (step t686.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1))) :rule cong :premises (t686.t2.a2 t686.t2.t3))
% 11.04/11.25 (step t686.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1))) :rule symm :premises (t686.t2.a11))
% 11.04/11.25 (step t686.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule symm :premises (t686.t2.t5))
% 11.04/11.25 (step t686.t2.t7 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t686.t2.a0))
% 11.04/11.25 (step t686.t2.t8 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t686.t2.a4))
% 11.04/11.25 (step t686.t2.t9 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t686.t2.t8))
% 11.04/11.25 (step t686.t2.t10 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t686.t2.t9 t686.t2.t3))
% 11.04/11.25 (step t686.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t686.t2.a7))
% 11.04/11.25 (step t686.t2.t12 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c1) tptp.identity)) :rule trans :premises (t686.t2.t10 t686.t2.t11))
% 11.04/11.25 (step t686.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)) (tptp.multiply tptp.sk_c9 tptp.identity))) :rule cong :premises (t686.t2.t7 t686.t2.t12))
% 11.04/11.25 (step t686.t2.t14 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t686.t2.a5))
% 11.04/11.25 (step t686.t2.t15 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule symm :premises (t686.t2.t14))
% 11.04/11.25 (step t686.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t686.t2.t7 t686.t2.a8))
% 11.04/11.25 (step t686.t2.t17 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t686.t2.t7))
% 11.04/11.25 (step t686.t2.t18 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.04/11.25 (step t686.t2.t19 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t686.t2.a9 t686.t2.t18))
% 11.04/11.25 (step t686.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t686.t2.a9))
% 11.04/11.25 (step t686.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t686.t2.t20 t686.t2.a8))
% 11.04/11.25 (step t686.t2.t22 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t686.t2.t11))
% 11.04/11.25 (step t686.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t686.t2.a8))
% 11.04/11.25 (step t686.t2.t24 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t686.t2.t22 t686.t2.t23))
% 11.04/11.25 (step t686.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t686.t2.a6))
% 11.04/11.25 (step t686.t2.t26 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule symm :premises (t686.t2.t25))
% 11.04/11.25 (step t686.t2.t27 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t686.t2.t9))
% 11.04/11.25 (step t686.t2.t28 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t686.t2.t15))
% 11.04/11.25 (step t686.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule cong :premises (t686.t2.t27 t686.t2.t28))
% 11.04/11.25 (step t686.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule trans :premises (t686.t2.t19 t686.t2.t21 t686.t2.t24 t686.t2.t26 t686.t2.t29))
% 11.04/11.25 (step t686.t2.t31 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule cong :premises (t686.t2.t17 t686.t2.t30))
% 11.04/11.25 (step t686.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t686.t2.a3))
% 11.04/11.25 (step t686.t2.t33 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t686.t2.t32))
% 11.04/11.25 (step t686.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t686.t2.t33))
% 11.04/11.25 (step t686.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t686.t2.a2))
% 11.04/11.25 (step t686.t2.t36 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.04/11.25 (step t686.t2.t37 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t686.t2.t35 t686.t2.t36))
% 11.04/11.25 (step t686.t2.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t686.t2.a1))
% 11.04/11.25 (step t686.t2.t39 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t686.t2.t38))
% 11.04/11.25 (step t686.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t686.t2.t39))
% 11.04/11.25 (step t686.t2.t41 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t686.t2.a2 t686.t2.t16 t686.t2.t31 t686.t2.t34 t686.t2.t37 t686.t2.t40))
% 11.04/11.25 (step t686.t2.t42 (cl (= (tptp.multiply tptp.sk_c9 tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9))) :rule cong :premises (t686.t2.t15 t686.t2.t41))
% 11.04/11.25 (step t686.t2.t43 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t686.t2.a10))
% 11.04/11.25 (step t686.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t686.t2.t43))
% 11.04/11.25 (step t686.t2.t45 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule symm :premises (t686.t2.t29))
% 11.04/11.25 (step t686.t2.t46 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t686.t2.t24))
% 11.04/11.25 (step t686.t2.t47 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t686.t2.t21))
% 11.04/11.25 (step t686.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t686.t2.t19))
% 11.04/11.25 (step t686.t2.t49 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) tptp.sk_c10)) :rule trans :premises (t686.t2.t45 t686.t2.t25 t686.t2.t46 t686.t2.t47 t686.t2.t48 t686.t2.t23))
% 11.04/11.25 (step t686.t2.t50 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule cong :premises (t686.t2.t3 t686.t2.t49))
% 11.04/11.25 (step t686.t2.t51 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t686.t2.t37))
% 11.04/11.25 (step t686.t2.t52 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t686.t2.t31))
% 11.04/11.25 (step t686.t2.t53 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t686.t2.t16))
% 11.04/11.25 (step t686.t2.t54 (cl (= tptp.sk_c1 tptp.identity)) :rule trans :premises (t686.t2.t2 t686.t2.t4 t686.t2.t6 t686.t2.t13 t686.t2.t42 t686.t2.t44 t686.t2.t50 t686.t2.t28 t686.t2.t39 t686.t2.t51 t686.t2.t33 t686.t2.t52 t686.t2.t53 t686.t2.t35))
% 11.04/11.25 (step t686.t2.t55 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.identity))) :rule cong :premises (t686.t2.t54))
% 11.04/11.25 (step t686.t2.t56 (cl (= tptp.identity (tptp.inverse tptp.sk_c10))) :rule trans :premises (t686.t2.a2 t686.t2.t16 t686.t2.t31 t686.t2.t34 t686.t2.t37 t686.t2.t40 t686.t2.t17))
% 11.04/11.25 (step t686.t2.t57 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule cong :premises (t686.t2.t56))
% 11.04/11.25 (step t686.t2.t58 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule trans :premises (t686.t2.t55 t686.t2.t57))
% 11.04/11.25 (step t686.t2 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule subproof :discharge (t686.t2.a0 t686.t2.a1 t686.t2.a2 t686.t2.a3 t686.t2.a4 t686.t2.a5 t686.t2.a6 t686.t2.a7 t686.t2.a8 t686.t2.a9 t686.t2.a10 t686.t2.a11 t686.t2.a12))
% 11.04/11.25 (step t686.t3 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t686.t4 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t686.t5 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t686.t6 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t686.t7 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t686.t8 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t686.t9 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t686.t10 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t686.t11 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t686.t12 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t686.t13 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t686.t14 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule and_pos)
% 11.04/11.25 (step t686.t15 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t686.t16 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))))) :rule resolution :premises (t686.t2 t686.t3 t686.t4 t686.t5 t686.t6 t686.t7 t686.t8 t686.t9 t686.t10 t686.t11 t686.t12 t686.t13 t686.t14 t686.t15))
% 11.04/11.25 (step t686.t17 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule reordering :premises (t686.t16))
% 11.04/11.25 (step t686.t18 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule contraction :premises (t686.t17))
% 11.04/11.25 (step t686.t19 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t686.t1 t686.t18))
% 11.04/11.25 (step t686.t20 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule implies_neg2)
% 11.04/11.25 (step t686.t21 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule resolution :premises (t686.t19 t686.t20))
% 11.04/11.25 (step t686.t22 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule contraction :premises (t686.t21))
% 11.04/11.25 (step t686.t23 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule implies :premises (t686.t22))
% 11.04/11.25 (step t686.t24 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule and_neg)
% 11.04/11.25 (step t686.t25 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t686.t24 t686.a0 t686.a4 t686.a6 t686.a11 t686.a2 t686.a1 t686.a10 t686.a8 t686.a5 t686.a3 t686.a12 t686.a9 t686.a7))
% 11.04/11.25 (step t686.t26 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t686.t23 t686.t25))
% 11.04/11.25 (step t686 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule subproof :discharge (t686.a0 t686.a1 t686.a2 t686.a3 t686.a4 t686.a5 t686.a6 t686.a7 t686.a8 t686.a9 t686.a10 t686.a11 t686.a12))
% 11.04/11.25 (step t687 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t688 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t689 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t690 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t691 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t692 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t693 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t694 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t695 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t696 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule and_pos)
% 11.04/11.25 (step t697 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t698 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t699 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t700 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t686 t687 t688 t689 t690 t691 t692 t693 t694 t695 t696 t697 t698 t699))
% 11.04/11.25 (step t701 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule reordering :premises (t700))
% 11.04/11.25 (step t702 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule contraction :premises (t701))
% 11.04/11.25 (step t703 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t685 t702))
% 11.04/11.25 (step t704 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule implies_neg2)
% 11.04/11.25 (step t705 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule resolution :premises (t703 t704))
% 11.04/11.25 (step t706 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10))))) :rule contraction :premises (t705))
% 11.04/11.25 (step t707 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule implies :premises (t706))
% 11.04/11.25 (step t708 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t684 t707))
% 11.04/11.25 (step t709 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t710)
% 11.04/11.25 (assume t710.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t710.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t710.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t710.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t710.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t710.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t710.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t710.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t710.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t710.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (step t710.t1 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t710.t2)
% 11.04/11.25 (assume t710.t2.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t710.t2.a1 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t710.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t710.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t710.t2.a4 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t710.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t710.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t710.t2.a7 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t710.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t710.t2.a9 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (step t710.t2.t1 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.04/11.25 (step t710.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t710.t2.a2 t710.t2.t1))
% 11.04/11.25 (step t710.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t710.t2.a2))
% 11.04/11.25 (step t710.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t710.t2.t3 t710.t2.a1))
% 11.04/11.25 (step t710.t2.t5 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t710.t2.a4))
% 11.04/11.25 (step t710.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t710.t2.t5 t710.t2.a1))
% 11.04/11.25 (step t710.t2.t7 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t710.t2.t5))
% 11.04/11.25 (step t710.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t710.t2.a5))
% 11.04/11.25 (step t710.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t710.t2.t8))
% 11.04/11.25 (step t710.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t710.t2.a1))
% 11.04/11.25 (step t710.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t710.t2.t9 t710.t2.t10))
% 11.04/11.25 (step t710.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t710.t2.a6))
% 11.04/11.25 (step t710.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule symm :premises (t710.t2.t12))
% 11.04/11.25 (step t710.t2.t14 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t710.t2.a0))
% 11.04/11.25 (step t710.t2.t15 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t710.t2.t14))
% 11.04/11.25 (step t710.t2.t16 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t710.t2.t15))
% 11.04/11.25 (step t710.t2.t17 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t710.t2.a7))
% 11.04/11.25 (step t710.t2.t18 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule symm :premises (t710.t2.t17))
% 11.04/11.25 (step t710.t2.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t710.t2.t18))
% 11.04/11.25 (step t710.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule cong :premises (t710.t2.t16 t710.t2.t19))
% 11.04/11.25 (step t710.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule trans :premises (t710.t2.t2 t710.t2.t4 t710.t2.t11 t710.t2.t13 t710.t2.t20))
% 11.04/11.25 (step t710.t2.t22 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule cong :premises (t710.t2.t7 t710.t2.t21))
% 11.04/11.25 (step t710.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t710.t2.a8))
% 11.04/11.25 (step t710.t2.t24 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t710.t2.t23))
% 11.04/11.25 (step t710.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t710.t2.t24))
% 11.04/11.25 (step t710.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t710.t2.a3))
% 11.04/11.25 (step t710.t2.t27 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.04/11.25 (step t710.t2.t28 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t710.t2.t26 t710.t2.t27))
% 11.04/11.25 (step t710.t2.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t710.t2.a9))
% 11.04/11.25 (step t710.t2.t30 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t710.t2.t29))
% 11.04/11.25 (step t710.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t710.t2.t30))
% 11.04/11.25 (step t710.t2.t32 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t710.t2.a3 t710.t2.t6 t710.t2.t22 t710.t2.t25 t710.t2.t28 t710.t2.t31))
% 11.04/11.25 (step t710.t2.t33 (cl (= tptp.sk_c9 tptp.identity)) :rule symm :premises (t710.t2.t32))
% 11.04/11.25 (step t710.t2.t34 (cl (= (tptp.inverse tptp.sk_c10) tptp.identity)) :rule trans :premises (t710.t2.t5 t710.t2.t33))
% 11.04/11.25 (step t710.t2.t35 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t710.t2.t21))
% 11.04/11.25 (step t710.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t710.t2.t34 t710.t2.t35))
% 11.04/11.25 (step t710.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t710.t2.t36))
% 11.04/11.25 (step t710.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t710.t2.t22))
% 11.04/11.25 (step t710.t2.t39 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t710.t2.t6))
% 11.04/11.25 (step t710.t2.t40 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t710.t2.t4))
% 11.04/11.25 (step t710.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t710.t2.t2))
% 11.04/11.25 (step t710.t2.t42 (cl (= tptp.identity (tptp.inverse tptp.sk_c1))) :rule trans :premises (t710.t2.a3 t710.t2.t6 t710.t2.t22 t710.t2.t36 t710.t2.t40 t710.t2.t41 t710.t2.t10 t710.t2.t15))
% 11.04/11.25 (step t710.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule cong :premises (t710.t2.t42 t710.t2.t32))
% 11.04/11.25 (step t710.t2.t44 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule trans :premises (t710.t2.a1 t710.t2.t2 t710.t2.t4 t710.t2.t37 t710.t2.t38 t710.t2.t39 t710.t2.t26 t710.t2.a2 t710.t2.t43))
% 11.04/11.25 (step t710.t2 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule subproof :discharge (t710.t2.a0 t710.t2.a1 t710.t2.a2 t710.t2.a3 t710.t2.a4 t710.t2.a5 t710.t2.a6 t710.t2.a7 t710.t2.a8 t710.t2.a9))
% 11.04/11.25 (step t710.t3 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t710.t4 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t710.t5 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t710.t6 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t710.t7 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t710.t8 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t710.t9 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t710.t10 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t710.t11 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t710.t12 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t710.t13 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule resolution :premises (t710.t2 t710.t3 t710.t4 t710.t5 t710.t6 t710.t7 t710.t8 t710.t9 t710.t10 t710.t11 t710.t12))
% 11.04/11.25 (step t710.t14 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule reordering :premises (t710.t13))
% 11.04/11.25 (step t710.t15 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule contraction :premises (t710.t14))
% 11.04/11.25 (step t710.t16 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule resolution :premises (t710.t1 t710.t15))
% 11.04/11.25 (step t710.t17 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9)))) :rule implies_neg2)
% 11.04/11.25 (step t710.t18 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9)))) :rule resolution :premises (t710.t16 t710.t17))
% 11.04/11.25 (step t710.t19 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9)))) :rule contraction :premises (t710.t18))
% 11.04/11.25 (step t710.t20 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule implies :premises (t710.t19))
% 11.04/11.25 (step t710.t21 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_neg)
% 11.04/11.25 (step t710.t22 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t710.t21 t710.a2 t710.a5 t710.a3 t710.a6 t710.a0 t710.a7 t710.a8 t710.a1 t710.a9 t710.a4))
% 11.04/11.25 (step t710.t23 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule resolution :premises (t710.t20 t710.t22))
% 11.04/11.25 (step t710 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule subproof :discharge (t710.a0 t710.a1 t710.a2 t710.a3 t710.a4 t710.a5 t710.a6 t710.a7 t710.a8 t710.a9))
% 11.04/11.25 (step t711 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t712 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t713 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t714 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.25 (step t715 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.25 (step t716 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t717 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.25 (step t718 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.25 (step t719 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.25 (step t720 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.25 (step t721 (cl (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9)) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t710 t711 t712 t713 t714 t715 t716 t717 t718 t719 t720))
% 11.04/11.25 (step t722 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule reordering :premises (t721))
% 11.04/11.25 (step t723 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule contraction :premises (t722))
% 11.04/11.25 (step t724 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule resolution :premises (t709 t723))
% 11.04/11.25 (step t725 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9)))) :rule implies_neg2)
% 11.04/11.25 (step t726 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9)))) :rule resolution :premises (t724 t725))
% 11.04/11.25 (step t727 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9)))) :rule contraction :premises (t726))
% 11.04/11.25 (step t728 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule implies :premises (t727))
% 11.04/11.25 (step t729 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c9))) :rule resolution :premises (t662 t728))
% 11.04/11.25 (step t730 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t731)
% 11.04/11.25 (assume t731.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t731.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t731.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t731.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t731.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t731.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t731.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t731.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.04/11.25 (assume t731.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t731.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))))
% 11.04/11.25 (assume t731.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t731.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t731.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (step t731.t1 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg1)
% 11.04/11.25 (anchor :step t731.t2)
% 11.04/11.25 (assume t731.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.04/11.25 (assume t731.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.25 (assume t731.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))))
% 11.04/11.25 (assume t731.t2.a3 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.25 (assume t731.t2.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.25 (assume t731.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.25 (assume t731.t2.a6 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.25 (assume t731.t2.a7 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.25 (assume t731.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.25 (assume t731.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.25 (assume t731.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (assume t731.t2.a11 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.25 (assume t731.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.25 (step t731.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t731.t2.a8))
% 11.04/11.25 (step t731.t2.t2 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.04/11.25 (step t731.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t731.t2.t1 t731.t2.t2))
% 11.04/11.25 (step t731.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t731.t2.t3))
% 11.04/11.25 (step t731.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t731.t2.a7))
% 11.04/11.25 (step t731.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t731.t2.a8 t731.t2.t5))
% 11.04/11.25 (step t731.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t731.t2.t6))
% 11.04/11.25 (step t731.t2.t8 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t731.t2.a3))
% 11.04/11.25 (step t731.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t731.t2.a11))
% 11.04/11.25 (step t731.t2.t10 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t731.t2.t9))
% 11.04/11.25 (step t731.t2.t11 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.04/11.25 (step t731.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule cong :premises (t731.t2.a1 t731.t2.t11))
% 11.04/11.25 (step t731.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t731.t2.a10))
% 11.04/11.25 (step t731.t2.t14 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t731.t2.t13))
% 11.04/11.25 (step t731.t2.t15 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t731.t2.a4))
% 11.04/11.25 (step t731.t2.t16 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t731.t2.t15))
% 11.04/11.25 (step t731.t2.t17 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t731.t2.a6))
% 11.04/11.25 (step t731.t2.t18 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule symm :premises (t731.t2.t17))
% 11.04/11.25 (step t731.t2.t19 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule cong :premises (t731.t2.t16 t731.t2.t18))
% 11.04/11.25 (step t731.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t731.t2.a9))
% 11.04/11.25 (step t731.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t731.t2.a5))
% 11.04/11.26 (step t731.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t731.t2.t21 t731.t2.a7))
% 11.04/11.26 (step t731.t2.t23 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c10))) :rule trans :premises (t731.t2.t19 t731.t2.t20 t731.t2.t22 t731.t2.t6 t731.t2.t3))
% 11.04/11.26 (step t731.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t731.t2.t8 t731.t2.t23))
% 11.04/11.26 (step t731.t2.t25 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t731.t2.t8))
% 11.04/11.26 (step t731.t2.t26 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t731.t2.t25 t731.t2.t5))
% 11.04/11.26 (step t731.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t731.t2.a1))
% 11.04/11.26 (step t731.t2.t28 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t731.t2.t10 t731.t2.t12 t731.t2.t14 t731.t2.t24 t731.t2.t26 t731.t2.t27))
% 11.04/11.26 (step t731.t2.t29 (cl (= (tptp.inverse tptp.sk_c10) tptp.identity)) :rule trans :premises (t731.t2.t8 t731.t2.t28))
% 11.04/11.26 (step t731.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t731.t2.t29 t731.t2.t23))
% 11.04/11.26 (step t731.t2.t31 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t731.t2.t30))
% 11.04/11.26 (step t731.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t731.t2.t26))
% 11.04/11.26 (step t731.t2.t33 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t731.t2.t24))
% 11.04/11.26 (step t731.t2.t34 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t731.t2.t12))
% 11.04/11.26 (step t731.t2.t35 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.04/11.26 (step t731.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t731.t2.t22))
% 11.04/11.26 (step t731.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule symm :premises (t731.t2.t19))
% 11.04/11.26 (step t731.t2.t38 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c9))) :rule trans :premises (t731.t2.a7 t731.t2.t4 t731.t2.t7 t731.t2.t36 t731.t2.a9 t731.t2.t37))
% 11.04/11.26 (step t731.t2.t39 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule cong :premises (t731.t2.t35 t731.t2.t38))
% 11.04/11.26 (step t731.t2.t40 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t731.t2.a12))
% 11.04/11.26 (step t731.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t731.t2.t40))
% 11.04/11.26 (step t731.t2.t42 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t731.t2.t41))
% 11.04/11.26 (step t731.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.identity))) :rule cong :premises (t731.t2.t17 t731.t2.t28))
% 11.04/11.26 (step t731.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) :rule cong :premises (t731.t2.t15 t731.t2.t35))
% 11.04/11.26 (step t731.t2.t45 (cl (= tptp.identity (tptp.multiply tptp.sk_c10 tptp.sk_c1))) :rule trans :premises (t731.t2.a5 t731.t2.t44))
% 11.04/11.26 (step t731.t2.t46 (cl (= (tptp.multiply tptp.sk_c9 tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule cong :premises (t731.t2.t25 t731.t2.t45))
% 11.04/11.26 (step t731.t2.t47 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1))) :rule symm :premises (t731.t2.a2))
% 11.04/11.26 (step t731.t2.t48 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule symm :premises (t731.t2.t47))
% 11.04/11.26 (step t731.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1))) :rule symm :premises (t731.t2.t48))
% 11.04/11.26 (step t731.t2.t50 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t731.t2.t27 t731.t2.t35))
% 11.04/11.26 (step t731.t2.t51 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t731.t2.a0))
% 11.04/11.26 (step t731.t2.t52 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule symm :premises (t731.t2.t51))
% 11.04/11.26 (step t731.t2.t53 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t731.t2.t52))
% 11.04/11.26 (step t731.t2.t54 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t731.t2.a1 t731.t2.t32 t731.t2.t33 t731.t2.t13 t731.t2.t34 t731.t2.t9 t731.t2.t18 t731.t2.t39 t731.t2.t42 t731.t2.t43 t731.t2.t46 t731.t2.t49 t731.t2.t50 t731.t2.t53))
% 11.04/11.26 (step t731.t2.t55 (cl (= tptp.identity (tptp.inverse tptp.sk_c1))) :rule trans :premises (t731.t2.a1 t731.t2.t32 t731.t2.t33 t731.t2.t30 t731.t2.t6 t731.t2.t3 t731.t2.t5 t731.t2.t16))
% 11.04/11.26 (step t731.t2.t56 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t731.t2.t54 t731.t2.t55))
% 11.04/11.26 (step t731.t2.t57 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t731.t2.a7 t731.t2.t4 t731.t2.t7 t731.t2.t31 t731.t2.t24 t731.t2.t26 t731.t2.t27 t731.t2.a8 t731.t2.t56))
% 11.04/11.26 (step t731.t2 (cl (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t731.t2.a0 t731.t2.a1 t731.t2.a2 t731.t2.a3 t731.t2.a4 t731.t2.a5 t731.t2.a6 t731.t2.a7 t731.t2.a8 t731.t2.a9 t731.t2.a10 t731.t2.a11 t731.t2.a12))
% 11.04/11.26 (step t731.t3 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.04/11.26 (step t731.t4 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t731.t5 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule and_pos)
% 11.04/11.26 (step t731.t6 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t731.t7 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.26 (step t731.t8 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.26 (step t731.t9 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t731.t10 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t731.t11 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.26 (step t731.t12 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.26 (step t731.t13 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.26 (step t731.t14 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.26 (step t731.t15 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.26 (step t731.t16 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t731.t2 t731.t3 t731.t4 t731.t5 t731.t6 t731.t7 t731.t8 t731.t9 t731.t10 t731.t11 t731.t12 t731.t13 t731.t14 t731.t15))
% 11.04/11.26 (step t731.t17 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t731.t16))
% 11.04/11.26 (step t731.t18 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t731.t17))
% 11.04/11.26 (step t731.t19 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t731.t1 t731.t18))
% 11.04/11.26 (step t731.t20 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.04/11.26 (step t731.t21 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t731.t19 t731.t20))
% 11.04/11.26 (step t731.t22 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t731.t21))
% 11.04/11.26 (step t731.t23 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t731.t22))
% 11.04/11.26 (step t731.t24 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule and_neg)
% 11.04/11.26 (step t731.t25 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule resolution :premises (t731.t24 t731.a7 t731.a6 t731.a9 t731.a0 t731.a2 t731.a8 t731.a1 t731.a5 t731.a3 t731.a10 t731.a11 t731.a4 t731.a12))
% 11.04/11.26 (step t731.t26 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t731.t23 t731.t25))
% 11.04/11.26 (step t731 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t731.a0 t731.a1 t731.a2 t731.a3 t731.a4 t731.a5 t731.a6 t731.a7 t731.a8 t731.a9 t731.a10 t731.a11 t731.a12))
% 11.04/11.26 (step t732 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t733 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t734 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.26 (step t735 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.26 (step t736 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.26 (step t737 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t738 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t739 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.04/11.26 (step t740 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.26 (step t741 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) :rule and_pos)
% 11.04/11.26 (step t742 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.26 (step t743 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.26 (step t744 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.26 (step t745 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t731 t732 t733 t734 t735 t736 t737 t738 t739 t740 t741 t742 t743 t744))
% 11.04/11.26 (step t746 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t745))
% 11.04/11.26 (step t747 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t746))
% 11.04/11.26 (step t748 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t730 t747))
% 11.04/11.26 (step t749 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.04/11.26 (step t750 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t748 t749))
% 11.04/11.26 (step t751 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t750))
% 11.04/11.26 (step t752 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t751))
% 11.04/11.26 (step t753 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t684 t752))
% 11.04/11.26 (step t754 (cl (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t659 t661 t683 t352 t525 t533 t246 t254 t368 t262 t708 t602 t352 t525 t610 t533 t618 t246 t254 t368 t262 t729 t352 t525 t533 t246 t254 t368 t262 t753 t602 t352 t525 t610 t533 t618 t246 t254 t368 t262))
% 11.04/11.26 (step t755 (cl (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t754))
% 11.04/11.26 (step t756 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4)))))))) :rule reordering :premises (t755))
% 11.04/11.26 (step t757 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) :rule resolution :premises (t578 t586 t594 t602 t352 t525 t610 t533 t618 t626 t634 t642 t246 t254 t368 t262 t644 t651 t652 t756 t130))
% 11.04/11.26 (step t758 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) :rule contraction :premises (t757))
% 11.04/11.26 (step t759 (cl (=> (forall ((X2 $$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_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) :rule implies_neg1)
% 11.04/11.26 (anchor :step t760)
% 11.04/11.26 (assume t760.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))
% 11.04/11.26 (step t760.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X2 tptp.sk_c1)))
% 11.04/11.26 (step t760.t2 (cl (not (forall ((X2 $$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_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t760.t1))
% 11.04/11.26 (step t760.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t760.t2 t760.a0))
% 11.04/11.26 (step t760 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t760.a0))
% 11.04/11.26 (step t761 (cl (=> (forall ((X2 $$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_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t759 t760))
% 11.04/11.26 (step t762 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.04/11.26 (step t763 (cl (=> (forall ((X2 $$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_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t761 t762))
% 11.04/11.26 (step t764 (cl (=> (forall ((X2 $$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_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t763))
% 11.04/11.26 (step t765 (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_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t764))
% 11.04/11.26 (step t766 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 11.04/11.26 (step t767 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t766))
% 11.04/11.26 (step t768 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule implies_neg1)
% 11.04/11.26 (anchor :step t769)
% 11.04/11.26 (assume t769.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.26 (assume t769.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.26 (assume t769.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.26 (assume t769.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.26 (assume t769.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.26 (assume t769.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.26 (assume t769.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.26 (assume t769.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.26 (assume t769.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.26 (assume t769.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.26 (step t769.t1 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule implies_neg1)
% 11.04/11.26 (anchor :step t769.t2)
% 11.04/11.26 (assume t769.t2.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.04/11.26 (assume t769.t2.a1 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.04/11.26 (assume t769.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.04/11.26 (assume t769.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.04/11.26 (assume t769.t2.a4 (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))
% 11.04/11.26 (assume t769.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.04/11.26 (assume t769.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))))
% 11.04/11.26 (assume t769.t2.a7 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))
% 11.04/11.26 (assume t769.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))
% 11.04/11.26 (assume t769.t2.a9 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.04/11.26 (step t769.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t769.t2.a9))
% 11.04/11.26 (step t769.t2.t2 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t769.t2.t1))
% 11.04/11.26 (step t769.t2.t3 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.04/11.26 (step t769.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule cong :premises (t769.t2.a3 t769.t2.t3))
% 11.04/11.26 (step t769.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9))) :rule symm :premises (t769.t2.a8))
% 11.04/11.26 (step t769.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule symm :premises (t769.t2.t5))
% 11.04/11.26 (step t769.t2.t7 (cl (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t769.t2.a4))
% 11.04/11.26 (step t769.t2.t8 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t769.t2.a0))
% 11.04/11.26 (step t769.t2.t9 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t769.t2.t8))
% 11.04/11.26 (step t769.t2.t10 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t769.t2.a7))
% 11.04/11.26 (step t769.t2.t11 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule symm :premises (t769.t2.t10))
% 11.04/11.26 (step t769.t2.t12 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule cong :premises (t769.t2.t9 t769.t2.t11))
% 11.04/11.26 (step t769.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t769.t2.a6))
% 11.04/11.26 (step t769.t2.t14 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule symm :premises (t769.t2.t13))
% 11.04/11.26 (step t769.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t769.t2.t14))
% 11.04/11.26 (step t769.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t769.t2.a5))
% 11.04/11.26 (step t769.t2.t17 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t769.t2.t16))
% 11.04/11.26 (step t769.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t769.t2.t17))
% 11.04/11.26 (step t769.t2.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t769.t2.t18 t769.t2.a1))
% 11.04/11.26 (step t769.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t769.t2.a1))
% 11.04/11.26 (step t769.t2.t21 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t769.t2.a2 t769.t2.t20))
% 11.04/11.26 (step t769.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t769.t2.a2))
% 11.04/11.26 (step t769.t2.t23 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.04/11.26 (step t769.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t769.t2.t22 t769.t2.t23))
% 11.04/11.26 (step t769.t2.t25 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c10))) :rule trans :premises (t769.t2.t12 t769.t2.t15 t769.t2.t19 t769.t2.t21 t769.t2.t24))
% 11.04/11.26 (step t769.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t769.t2.t7 t769.t2.t25))
% 11.04/11.26 (step t769.t2.t27 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule symm :premises (t769.t2.t7))
% 11.04/11.26 (step t769.t2.t28 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t769.t2.t27 t769.t2.t20))
% 11.04/11.26 (step t769.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t769.t2.a3))
% 11.04/11.26 (step t769.t2.t30 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t769.t2.t2 t769.t2.t4 t769.t2.t6 t769.t2.t26 t769.t2.t28 t769.t2.t29))
% 11.04/11.26 (step t769.t2.t31 (cl (= (tptp.inverse tptp.sk_c10) tptp.identity)) :rule trans :premises (t769.t2.t7 t769.t2.t30))
% 11.04/11.26 (step t769.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t769.t2.t31 t769.t2.t25))
% 11.04/11.26 (step t769.t2.t33 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t769.t2.t2 t769.t2.t4 t769.t2.t6 t769.t2.t32 t769.t2.t21 t769.t2.t24 t769.t2.t20 t769.t2.t9))
% 11.04/11.26 (step t769.t2 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t769.t2.a0 t769.t2.a1 t769.t2.a2 t769.t2.a3 t769.t2.a4 t769.t2.a5 t769.t2.a6 t769.t2.a7 t769.t2.a8 t769.t2.a9))
% 11.04/11.26 (step t769.t3 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.26 (step t769.t4 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t769.t5 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.26 (step t769.t6 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t769.t7 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t769.t8 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.26 (step t769.t9 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.26 (step t769.t10 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t769.t11 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.26 (step t769.t12 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.26 (step t769.t13 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule resolution :premises (t769.t2 t769.t3 t769.t4 t769.t5 t769.t6 t769.t7 t769.t8 t769.t9 t769.t10 t769.t11 t769.t12))
% 11.04/11.26 (step t769.t14 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t769.t13))
% 11.04/11.26 (step t769.t15 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t769.t14))
% 11.04/11.26 (step t769.t16 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t769.t1 t769.t15))
% 11.04/11.26 (step t769.t17 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.04/11.26 (step t769.t18 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t769.t16 t769.t17))
% 11.04/11.26 (step t769.t19 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t769.t18))
% 11.04/11.26 (step t769.t20 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t769.t19))
% 11.04/11.26 (step t769.t21 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_neg)
% 11.04/11.26 (step t769.t22 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t769.t21 t769.a2 t769.a5 t769.a3 t769.a6 t769.a0 t769.a7 t769.a8 t769.a1 t769.a9 t769.a4))
% 11.04/11.26 (step t769.t23 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t769.t20 t769.t22))
% 11.04/11.26 (step t769 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t769.a0 t769.a1 t769.a2 t769.a3 t769.a4 t769.a5 t769.a6 t769.a7 t769.a8 t769.a9))
% 11.04/11.26 (step t770 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t771 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t772 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.04/11.26 (step t773 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.04/11.26 (step t774 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.04/11.26 (step t775 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t776 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.04/11.26 (step t777 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.04/11.26 (step t778 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule and_pos)
% 11.04/11.26 (step t779 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) :rule and_pos)
% 11.04/11.26 (step t780 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))))) :rule resolution :premises (t769 t770 t771 t772 t773 t774 t775 t776 t777 t778 t779))
% 11.04/11.26 (step t781 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t780))
% 11.04/11.26 (step t782 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t781))
% 11.04/11.26 (step t783 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t768 t782))
% 11.04/11.26 (step t784 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.04/11.26 (step t785 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t783 t784))
% 11.04/11.26 (step t786 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t785))
% 11.04/11.26 (step t787 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t786))
% 11.04/11.26 (step t788 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) 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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t662 t787))
% 11.04/11.26 (step t789 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c1)) (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_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c9))))) :rule reordering :premises (t788))
% 11.04/11.26 (step t790 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (not (forall ((X $$unsorted)) (= 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)))))) :rule resolution :premises (t758 t765 t767 t789 t261 t367 t253 t245 t532 t524 t351))
% 11.04/11.26 (step t791 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) :rule contraction :premises (t790))
% 11.04/11.26 (step t792 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t791 t229 t202 a2))
% 11.04/11.26 (step t793 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t546 t792))
% 11.04/11.26 (step t794 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t793))
% 11.04/11.26 (step t795 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 (tptp.inverse X4)))) (not (= tptp.sk_c10 (tptp.multiply (tptp.inverse X4) tptp.sk_c9))) (not (= (tptp.inverse X4) (tptp.inverse (tptp.inverse X6)))) (not (= (tptp.inverse X6) (tptp.multiply X6 (tptp.inverse X4))))))) :rule or :premises (t120))
% 11.04/11.26 (step t796 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (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_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) :rule resolution :premises (t139 t390 t184 t192 t211 t219 t238 t246 t254 t262 t336 t184 t344 t192 t352 t211 t360 t219 t238 t246 t254 t368 t262 t309 t184 t192 t211 t219 t238 t246 t254 t262 t287 t184 t192 t211 t219 t238 t246 t254 t262 t128 t795 t130))
% 11.04/11.26 (step t797 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X2 $$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_c8 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3)))))) :rule contraction :premises (t796))
% 11.04/11.26 (step t798 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t797 t148 t392 t176 t184 t192 t203 t211 t219 t230 t238 t246 t254 t262 t137 t264))
% 11.04/11.26 (step t799 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t798))
% 11.04/11.26 (step t800 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule equiv_pos2)
% 11.04/11.26 (step t801 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 11.04/11.26 (step t802 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule cong :premises (t801 t415))
% 11.04/11.26 (step t803 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t800 t802 a23))
% 11.04/11.26 (step t804 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule or :premises (t803))
% 11.04/11.26 (step t805 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t804))
% 11.04/11.26 (step t806 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 11.04/11.26 (step t807 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t801 t397))
% 11.04/11.26 (step t808 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t806 t807 a24))
% 11.04/11.26 (step t809 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule or :premises (t808))
% 11.04/11.26 (step t810 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t809))
% 11.04/11.26 (step t811 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) :rule equiv_pos2)
% 11.04/11.26 (step t812 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))))) :rule cong :premises (t801 t403))
% 11.04/11.26 (step t813 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)))) :rule resolution :premises (t811 t812 a25))
% 11.04/11.26 (step t814 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) :rule or :premises (t813))
% 11.04/11.26 (step t815 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t814))
% 11.04/11.26 (step t816 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.04/11.26 (step t817 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t801 t409))
% 11.04/11.26 (step t818 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t816 t817 a26))
% 11.04/11.26 (step t819 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule or :premises (t818))
% 11.04/11.26 (step t820 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t819))
% 11.04/11.26 (step t821 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t799 t805 t810 t815 t820))
% 11.04/11.26 (step t822 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t821))
% 11.04/11.26 (step t823 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))) :rule reordering :premises (t822))
% 11.04/11.26 (step t824 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))) :rule resolution :premises (t421 t794 t823))
% 11.04/11.26 (step t825 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)))) :rule contraction :premises (t824))
% 11.04/11.26 (step t826 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule resolution :premises (t105 t825))
% 11.04/11.26 (step t827 (cl (not (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c7)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c7))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.04/11.26 (step t828 (cl (= (= (tptp.inverse tptp.sk_c5) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)))) :rule all_simplify)
% 11.04/11.26 (step t829 (cl (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c7)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t101 t828))
% 11.04/11.26 (step t830 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t827 t829 a11))
% 11.04/11.26 (step t831 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))) :rule or :premises (t830))
% 11.04/11.26 (step t832 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t831 t825))
% 11.04/11.26 (step t833 (cl (not (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c6) tptp.sk_c5))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)))) :rule equiv_pos2)
% 11.04/11.26 (step t834 (cl (= (= (tptp.inverse tptp.sk_c6) tptp.sk_c5) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)))) :rule all_simplify)
% 11.04/11.26 (step t835 (cl (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t101 t834))
% 11.04/11.26 (step t836 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t833 t835 a10))
% 11.04/11.26 (step t837 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) :rule or :premises (t836))
% 11.04/11.26 (step t838 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t837 t825))
% 11.04/11.26 (step t839 (cl (not (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))))) (not (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c10))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule equiv_pos2)
% 11.04/11.26 (step t840 (cl (= (= (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule all_simplify)
% 11.04/11.26 (step t841 (cl (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c7 tptp.sk_c9) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))))) :rule cong :premises (t101 t840))
% 11.04/11.26 (step t842 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9)))) :rule resolution :premises (t839 t841 a9))
% 11.04/11.26 (step t843 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) :rule or :premises (t842))
% 11.04/11.26 (step t844 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c9))) :rule resolution :premises (t843 t825))
% 11.04/11.26 (step t845 (cl (not (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.04/11.26 (step t846 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 11.04/11.26 (step t847 (cl (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t101 t846))
% 11.04/11.26 (step t848 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t845 t847 a8))
% 11.04/11.26 (step t849 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule or :premises (t848))
% 11.04/11.26 (step t850 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t849 t825))
% 11.04/11.26 (step t851 (cl (not (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c10))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule equiv_pos2)
% 11.04/11.26 (step t852 (cl (= (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule all_simplify)
% 11.04/11.26 (step t853 (cl (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule cong :premises (t101 t852))
% 11.04/11.26 (step t854 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t851 t853 a7))
% 11.04/11.26 (step t855 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule or :premises (t854))
% 11.04/11.26 (step t856 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule resolution :premises (t855 t825))
% 11.04/11.26 (step t857 (cl (not (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.04/11.26 (step t858 (cl (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t101 t409))
% 11.04/11.26 (step t859 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t857 t858 a6))
% 11.04/11.26 (step t860 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule or :premises (t859))
% 11.04/11.26 (step t861 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t860 t825))
% 11.04/11.26 (step t862 (cl (not (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 11.04/11.26 (step t863 (cl (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t101 t397))
% 11.04/11.26 (step t864 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t862 t863 a4))
% 11.04/11.26 (step t865 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule or :premises (t864))
% 11.04/11.26 (step t866 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule resolution :premises (t865 t825))
% 11.04/11.26 (step t867 (cl (not (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) (not (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule equiv_pos2)
% 11.04/11.26 (step t868 (cl (= (or (= (tptp.inverse tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule cong :premises (t101 t415))
% 11.04/11.26 (step t869 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t867 t868 a3))
% 11.04/11.26 (step t870 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule or :premises (t869))
% 11.04/11.26 (step t871 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule resolution :premises (t870 t825))
% 11.04/11.26 (step t872 (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 $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.04/11.26 (anchor :step t873)
% 11.04/11.26 (assume t873.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.04/11.26 (step t873.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 11.04/11.26 (step t873.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule or :premises (t873.t1))
% 11.04/11.26 (step t873.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t873.t2 t873.a0))
% 11.04/11.26 (step t873 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule subproof :discharge (t873.a0))
% 11.04/11.26 (step t874 (cl (=> (forall ((X $$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 (t872 t873))
% 11.04/11.26 (step t875 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg2)
% 11.04/11.26 (step t876 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t874 t875))
% 11.04/11.26 (step t877 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule contraction :premises (t876))
% 11.04/11.26 (step t878 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule implies :premises (t877))
% 11.04/11.26 (step t879 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t878 t202))
% 11.04/11.26 (step t880 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.04/11.26 (anchor :step t881)
% 11.04/11.26 (assume t881.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.04/11.26 (step t881.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 11.04/11.26 (step t881.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule or :premises (t881.t1))
% 11.04/11.26 (step t881.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t881.t2 t881.a0))
% 11.04/11.26 (step t881 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule subproof :discharge (t881.a0))
% 11.04/11.26 (step t882 (cl (=> (forall ((X $$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 (t880 t881))
% 11.04/11.26 (step t883 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg2)
% 11.04/11.26 (step t884 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t882 t883))
% 11.04/11.26 (step t885 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule contraction :premises (t884))
% 11.04/11.26 (step t886 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule implies :premises (t885))
% 11.04/11.26 (step t887 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t886 t202))
% 11.04/11.26 (step t888 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.04/11.26 (anchor :step t889)
% 11.04/11.26 (assume t889.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.04/11.26 (step t889.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 11.04/11.26 (step t889.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule or :premises (t889.t1))
% 11.04/11.26 (step t889.t3 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t889.t2 t889.a0))
% 11.04/11.26 (step t889 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t889.a0))
% 11.04/11.26 (step t890 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t888 t889))
% 11.04/11.26 (step t891 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 11.04/11.26 (step t892 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t890 t891))
% 11.04/11.26 (step t893 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t892))
% 11.04/11.26 (step t894 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t893))
% 11.04/11.26 (step t895 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t894 t229))
% 11.04/11.26 (step t896 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.04/11.26 (anchor :step t897)
% 11.04/11.26 (assume t897.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.04/11.26 (step t897.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 11.04/11.26 (step t897.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t897.t1))
% 11.04/11.26 (step t897.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t897.t2 t897.a0))
% 11.04/11.26 (step t897 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t897.a0))
% 11.04/11.26 (step t898 (cl (=> (forall ((X $$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 (t896 t897))
% 11.04/11.26 (step t899 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg2)
% 11.04/11.26 (step t900 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t898 t899))
% 11.04/11.26 (step t901 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t900))
% 11.04/11.26 (step t902 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t901))
% 11.04/11.26 (step t903 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t902 t202))
% 11.04/11.26 (step t904 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.04/11.26 (anchor :step t905)
% 11.04/11.26 (assume t905.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.04/11.26 (step t905.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 11.04/11.26 (step t905.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t905.t1))
% 11.04/11.26 (step t905.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t905.t2 t905.a0))
% 11.04/11.26 (step t905 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t905.a0))
% 11.04/11.26 (step t906 (cl (=> (forall ((X $$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 (t904 t905))
% 11.04/11.26 (step t907 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg2)
% 11.04/11.26 (step t908 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t906 t907))
% 11.04/11.26 (step t909 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t908))
% 11.04/11.26 (step t910 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t909))
% 11.04/11.26 (step t911 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t910 t229))
% 11.04/11.26 (step t912 (cl) :rule resolution :premises (t43 t51 t59 t67 t75 t83 t91 t99 t826 t832 t838 t844 t850 t856 t861 t866 t871 t825 t184 t879 t887 t895 t903 t911 t203 t211 t360 t219 t230 t238 t254 t262))
% 11.04/11.26
% 11.04/11.26 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.5jpj2MsUrX/cvc5---1.0.5_30645.smt2
% 11.04/11.26 % cvc5---1.0.5 exiting
% 11.04/11.26 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------